100101122200100 has 54 divisors (see below), whose sum is σ = 252683832766050. Its totient is φ = 34320384752640.

The previous prime is 100101122200021. The next prime is 100101122200169. The reversal of 100101122200100 is 1002221101001.

It can be written as a sum of positive squares in 3 ways, for example, as 115041715684 + 99986080484416 = 339178^2 + 9999304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10214395325 + ... + 10214405124.

Almost surely, 2^{100101122200100} is an apocalyptic number.

100101122200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101122200100 is an abundant number, since it is smaller than the sum of its proper divisors (152582710565950).

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

100101122200100 is a wasteful number, since it uses less digits than its factorization.

100101122200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20428800477 (or 20428800463 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100101122200100 its reverse (1002221101001), we get a palindrome (101103343301101).

The spelling of 100101122200100 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, two hundred thousand, one hundred".