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101211012122112 = 2932191156010281
BaseRepresentation
bin10111000000110100000110…
…011011001100011000000000
3111021100200022110021101220200
4113000310012123030120000
5101231220123100401422
6555131410323205200
730214153142266464
oct2700640633143000
9437320273241820
10101211012122112
112a281392860632
12b427457216800
134462208010a29
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".