100122102001012 has 48 divisors (see below), whose sum is σ = 215695991831040. Its totient is φ = 39599856145152.

The previous prime is 100122102000983. The next prime is 100122102001057. The reversal of 100122102001012 is 210100201221001.

It is a super-2 number, since 2×100122102001012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100122102000983 and 100122102001001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29234812 + ... + 32479507.

It is an arithmetic number, because the mean of its divisors is an integer number (4493666496480).

Almost surely, 2^{100122102001012} is an apocalyptic number.

It is an amenable number.

100122102001012 is an abundant number, since it is smaller than the sum of its proper divisors (115573889830028).

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

100122102001012 is a wasteful number, since it uses less digits than its factorization.

100122102001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61718800 (or 61718798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100122102001012 its reverse (210100201221001), we get a palindrome (310222303222013).

The spelling of 100122102001012 in words is "one hundred trillion, one hundred twenty-two billion, one hundred two million, one thousand, twelve".