100201012100 has 72 divisors (see below), whose sum is σ = 248540425728. Its totient is φ = 34348838400.

The previous prime is 100201012091. The next prime is 100201012147. The reversal of 100201012100 is 1210102001.

100201012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×100201012100⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7317260 + ... + 7330940.

Almost surely, 2^100201012100 is an apocalyptic number.

100201012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201012100 is an abundant number, since it is smaller than the sum of its proper divisors (148339413628).

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

100201012100 is a wasteful number, since it uses less digits than its factorization.

100201012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24165 (or 24158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100201012100 its reverse (1210102001), we get a palindrome (101411114101).

The spelling of 100201012100 in words is "one hundred billion, two hundred one million, twelve thousand, one hundred".