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101211100122012 = 22339721244983233
BaseRepresentation
bin10111000000110100001011…
…101010111000101110011100
3111021100200112120212021002020
4113000310023222320232130
5101231220313112401022
6555131423145300140
730214155261262116
oct2700641352705634
9437320476767066
10101211100122012
112a2814284a6221
12b427480794650
13446222031248a
141adc9016303b6
15ba7aedc2535c
hex5c0d0bab8b9c

101211100122012 has 24 divisors (see below), whose sum is σ = 236754093159696. Its totient is φ = 33652053439488.

The previous prime is 101211100122007. The next prime is 101211100122061. The reversal of 101211100122012 is 210221001112101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101211100121982 and 101211100122000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10622486853 + ... + 10622496380.

It is an arithmetic number, because the mean of its divisors is an integer number (9864753881654).

Almost surely, 2101211100122012 is an apocalyptic number.

101211100122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211100122012 is an abundant number, since it is smaller than the sum of its proper divisors (135542993037684).

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

101211100122012 is a wasteful number, since it uses less digits than its factorization.

101211100122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21244983637 (or 21244983635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211100122012 its reverse (210221001112101), we get a palindrome (311432101234113).

The spelling of 101211100122012 in words is "one hundred one trillion, two hundred eleven billion, one hundred million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 397 794 1191 1588 2382 4764 21244983233 42489966466 63734949699 84979932932 127469899398 254939798796 8434258343501 16868516687002 25302775030503 33737033374004 50605550061006 101211100122012