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101211012122112 = 2932191156010281
BaseRepresentation
bin10111000000110100000110…
…011011001100011000000000
3111021100200022110021101220200
4113000310012123030120000
5101231220123100401422
6555131410323205200
730214153142266464
oct2700640633143000
9437320273241820
10101211012122112
112a281392860632
12b427457216800
134462208010a29
141adc8d3a844a4
15ba7ae61412ac
hex5c0d066cc600

101211012122112 has 120 divisors (see below), whose sum is σ = 307475614806360. Its totient is φ = 31961372221440.

The previous prime is 101211012122107. The next prime is 101211012122117. The reversal of 101211012122112 is 211221210112101.

It is a happy number.

101211012122112 is a `hidden beast` number, since 101 + 211 + 0 + 121 + 221 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (101211012122107) and next prime (101211012122117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211012122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577917589 + ... + 578092692.

It is an arithmetic number, because the mean of its divisors is an integer number (2562296790053).

Almost surely, 2101211012122112 is an apocalyptic number.

101211012122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211012122112 is an abundant number, since it is smaller than the sum of its proper divisors (206264602684248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101211012122112 is a wasteful number, since it uses less digits than its factorization.

101211012122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156010324 (or 1156010305 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101211012122112 its reverse (211221210112101), we get a palindrome (312432222234213).

The spelling of 101211012122112 in words is "one hundred one trillion, two hundred eleven billion, twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 14592 21888 29184 43776 87552 1156010281 2312020562 3468030843 4624041124 6936061686 9248082248 10404092529 13872123372 18496164496 20808185058 21964195339 27744246744 36992328992 41616370116 43928390678 55488493488 65892586017 73984657984 83232740232 87856781356 110976986976 131785172034 147969315968 166465480464 175713562712 197677758051 221953973952 263570344068 295938631936 332930960928 351427125424 395355516102 443907947904 527140688136 591877263872 665861921856 702854250848 790711032204 887815895808 1054281376272 1331723843712 1405708501696 1581422064408 1775631791616 2108562752544 2663447687424 2811417003392 3162844128816 4217125505088 5326895374848 5622834006784 6325688257632 8434251010176 11245668013568 12651376515264 16868502020352 25302753030528 33737004040704 50605506061056 101211012122112