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212110100121100 = 22522408388074617
BaseRepresentation
bin110000001110100110111011…
…001010111100011000001100
31000211000112020120111211001211
4300032212323022330120030
5210300202441112333400
62031042011303144204
762451310005035656
oct6016467312743014
91024015216454054
10212110100121100
116164842a901775
121b958437445064
139147b86b322cc
143a5427dc096d6
15197c70cc82dba
hexc0e9bb2bc60c

212110100121100 has 36 divisors (see below), whose sum is σ = 460298034680904. Its totient is φ = 84840516100480.

The previous prime is 212110100121091. The next prime is 212110100121107. The reversal of 212110100121100 is 1121001011212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212110100121107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41629009 + ... + 46445608.

It is an arithmetic number, because the mean of its divisors is an integer number (12786056518914).

Almost surely, 2212110100121100 is an apocalyptic number.

212110100121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110100121100 is an abundant number, since it is smaller than the sum of its proper divisors (248187934559804).

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

212110100121100 is a wasteful number, since it uses less digits than its factorization.

212110100121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88098714 (or 88098707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212110100121100 its reverse (1121001011212), we get a palindrome (213231101132312).

The spelling of 212110100121100 in words is "two hundred twelve trillion, one hundred ten billion, one hundred million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 24083 48166 96332 120415 240830 481660 602075 1204150 2408300 88074617 176149234 352298468 440373085 880746170 1761492340 2201865425 4403730850 8807461700 2121101001211 4242202002422 8484404004844 10605505006055 21211010012110 42422020024220 53027525030275 106055050060550 212110100121100