100102220112200 has 48 divisors (see below), whose sum is σ = 232852368304500. Its totient is φ = 40021153585920.

The previous prime is 100102220112163. The next prime is 100102220112227. The reversal of 100102220112200 is 2211022201001.

It can be written as a sum of positive squares in 6 ways, for example, as 96242496226276 + 3859723885924 = 9810326^2 + 1964618^2 .

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, 122933555 + ... + 123745154.

Almost surely, 2^{100102220112200} is an apocalyptic number.

100102220112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102220112200 is an abundant number, since it is smaller than the sum of its proper divisors (132750148192300).

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

100102220112200 is a wasteful number, since it uses less digits than its factorization.

100102220112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246680754 (or 246680745 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100102220112200 its reverse (2211022201001), we get a palindrome (102313242313201).

The spelling of 100102220112200 in words is "one hundred trillion, one hundred two billion, two hundred twenty million, one hundred twelve thousand, two hundred".