100122122100100 has 36 divisors (see below), whose sum is σ = 219258261907300. Its totient is φ = 39681428204160.

The previous prime is 100122122099999. The next prime is 100122122100151. The reversal of 100122122100100 is 1001221221001.

It can be written as a sum of positive squares in 6 ways, for example, as 408996062784 + 99713126037316 = 639528^2 + 9985646^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4592746995 + ... + 4592768794.

Almost surely, 2^{100122122100100} is an apocalyptic number.

100122122100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122122100100 is an abundant number, since it is smaller than the sum of its proper divisors (119136139807200).

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

100122122100100 is a wasteful number, since it uses less digits than its factorization.

100122122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9185515912 (or 9185515905 counting only the distinct ones).

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

Adding to 100122122100100 its reverse (1001221221001), we get a palindrome (101123343321101).

100122122100100 divided by its reverse (1001221221001) gives a square (100 = 10²).

The spelling of 100122122100100 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, one hundred".