100121010122112 has 128 divisors (see below), whose sum is σ = 305012771669760. Its totient is φ = 28504921393152.

The previous prime is 100121010121997. The next prime is 100121010122113. The reversal of 100121010122112 is 211221010121001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×100121010122112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121010122091 and 100121010122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121010122113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65047423 + ... + 66568830.

It is an arithmetic number, because the mean of its divisors is an integer number (2382912278670).

Almost surely, 2^{100121010122112} is an apocalyptic number.

100121010122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121010122112 is an abundant number, since it is smaller than the sum of its proper divisors (204891761547648).

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

100121010122112 is a wasteful number, since it uses less digits than its factorization.

100121010122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131616560 (or 131616548 counting only the distinct ones).

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

Adding to 100121010122112 its reverse (211221010121001), we get a palindrome (311342020243113).

The spelling of 100121010122112 in words is "one hundred trillion, one hundred twenty-one billion, ten million, one hundred twenty-two thousand, one hundred twelve".