100122212122112 has 160 divisors (see below), whose sum is σ = 213953849898624. Its totient is φ = 46641070080000.

The previous prime is 100122212122043. The next prime is 100122212122169. The reversal of 100122212122112 is 211221212221001.

It is a super-2 number, since 2×100122212122112² (a number of 29 digits) contains 22 as substring.

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, 8704002953 + ... + 8704014455.

Almost surely, 2^{100122212122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106976924949312).

100122212122112 is an abundant number, since it is smaller than the sum of its proper divisors (113831637776512).

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

100122212122112 is a wasteful number, since it uses less digits than its factorization.

100122212122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21540 (or 21524 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100122212122112 its reverse (211221212221001), we get a palindrome (311343424343113).

The spelling of 100122212122112 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".