100201000020100 has 72 divisors (see below), whose sum is σ = 248501301093248. Its totient is φ = 34354238572800.

The previous prime is 100201000020089. The next prime is 100201000020269. The reversal of 100201000020100 is 1020000102001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64658320 + ... + 66189880.

Almost surely, 2^{100201000020100} is an apocalyptic number.

100201000020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201000020100 is an abundant number, since it is smaller than the sum of its proper divisors (148300301073148).

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

100201000020100 is a wasteful number, since it uses less digits than its factorization.

100201000020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625045 (or 1625038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100201000020100 its reverse (1020000102001), we get a palindrome (101221000122101).

The spelling of 100201000020100 in words is "one hundred trillion, two hundred one billion, twenty thousand, one hundred".