10021955200 has 48 divisors (see below), whose sum is σ = 24757369110. Its totient is φ = 4008780800.

The previous prime is 10021955189. The next prime is 10021955239. The reversal of 10021955200 is 255912001.

It can be written as a sum of positive squares in 3 ways, for example, as 9734584896 + 287370304 = 98664^2 + 16952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1562731 + ... + 1569130.

Almost surely, 2^10021955200 is an apocalyptic number.

10021955200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021955200 is an abundant number, since it is smaller than the sum of its proper divisors (14735413910).

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

10021955200 is an equidigital number, since it uses as much as digits as its factorization.

10021955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131885 (or 3131868 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10021955200 in words is "ten billion, twenty-one million, nine hundred fifty-five thousand, two hundred".