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101212122121112 = 231923591801327241
BaseRepresentation
bin10111000000110101001000…
…100101100000001110011000
3111021100210011210221012021202
4113000311020211200032120
5101231224411230333422
6555132112414253332
730214222511156252
oct2700651045401630
9437323153835252
10101212122121112
112a281902385282
12b427706ab7248
134462353c82982
141adc99b266cd2
15ba7b5d7eeb92
hex5c0d48960398

101212122121112 has 128 divisors (see below), whose sum is σ = 211998551616000. Its totient is φ = 45076710159360.

The previous prime is 101212122121091. The next prime is 101212122121127. The reversal of 101212122121112 is 211121221212101.

It is a happy number.

It is a super-2 number, since 2×1012121221211122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3715419812 + ... + 3715447052.

It is an arithmetic number, because the mean of its divisors is an integer number (1656238684500).

Almost surely, 2101212122121112 is an apocalyptic number.

It is an amenable number.

101212122121112 is an abundant number, since it is smaller than the sum of its proper divisors (110786429494888).

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

101212122121112 is a wasteful number, since it uses less digits than its factorization.

101212122121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45361 (or 45357 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 101212122121112 its reverse (211121221212101), we get a palindrome (312333343333213).

The spelling of 101212122121112 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 19 23 38 46 59 76 92 118 152 184 236 437 472 874 1121 1357 1748 2242 2714 3496 4484 5428 8968 10856 18013 25783 27241 36026 51566 54482 72052 103132 108964 144104 206264 217928 342247 414299 517579 626543 684494 828598 1035158 1062767 1253086 1368988 1607219 1657196 2070316 2125534 2506172 2737976 3214438 3314392 4140632 4251068 5012344 6428876 7871681 8502136 11904317 12857752 15743362 20192573 23808634 24443641 30537161 31486724 36966037 40385146 47617268 48887282 61074322 62973448 73932074 80770292 95234536 97774564 122148644 147864148 161540584 195549128 244297288 295728296 464429179 490692133 702354703 928858358 981384266 1404709406 1857716716 1962768532 2809418812 3715433432 3925537064 5618837624 9323150527 11285919059 18646301054 22571838118 28950835847 37292602108 45143676236 57901671694 74585204216 90287352472 115803343388 214432462121 231606686776 428864924242 550065881093 665869224481 857729848484 1100131762186 1331738448962 1715459696968 2200263524372 2663476897924 4400527048744 5326953795848 12651515265139 25303030530278 50606061060556 101212122121112