100021120200 has 72 divisors (see below), whose sum is σ = 335904268050. Its totient is φ = 26672298240.

The previous prime is 100021120189. The next prime is 100021120237. The reversal of 100021120200 is 2021120001.

It can be written as a sum of positive squares in 3 ways, for example, as 63265328676 + 36755791524 = 251526^2 + 191718^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 27781845 + ... + 27785444.

Almost surely, 2^100021120200 is an apocalyptic number.

100021120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021120200 is an abundant number, since it is smaller than the sum of its proper divisors (235883147850).

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

100021120200 is a wasteful number, since it uses less digits than its factorization.

100021120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55567311 (or 55567299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100021120200 its reverse (2021120001), we get a palindrome (102042240201).

The spelling of 100021120200 in words is "one hundred billion, twenty-one million, one hundred twenty thousand, two hundred".