100020112200100 has 36 divisors (see below), whose sum is σ = 217055404354068. Its totient is φ = 40005876976000.

The previous prime is 100020112199989. The next prime is 100020112200133. The reversal of 100020112200100 is 1002211020001.

It can be written as a sum of positive squares in 6 ways, for example, as 1522109452644 + 98498002747456 = 1233738^2 + 9924616^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 25243471 + ... + 28935670.

It is an arithmetic number, because the mean of its divisors is an integer number (6029316787613).

Almost surely, 2^{100020112200100} is an apocalyptic number.

100020112200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020112200100 is an abundant number, since it is smaller than the sum of its proper divisors (117035292153968).

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

100020112200100 is a wasteful number, since it uses less digits than its factorization.

100020112200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54197616 (or 54197609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100020112200100 its reverse (1002211020001), we get a palindrome (101022323220101).

The spelling of 100020112200100 in words is "one hundred trillion, twenty billion, one hundred twelve million, two hundred thousand, one hundred".