10203646640200 has 96 divisors (see below), whose sum is σ = 25549720963200. Its totient is φ = 3767299810560.

The previous prime is 10203646640177. The next prime is 10203646640227. The reversal of 10203646640200 is 204664630201.

It is a super-2 number, since 2×10203646640200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54191419 + ... + 54379381.

It is an arithmetic number, because the mean of its divisors is an integer number (266142926700).

Almost surely, 2^{10203646640200} is an apocalyptic number.

10203646640200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203646640200 is an abundant number, since it is smaller than the sum of its proper divisors (15346074323000).

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

10203646640200 is a wasteful number, since it uses less digits than its factorization.

10203646640200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208871 (or 208862 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 10203646640200 in words is "ten trillion, two hundred three billion, six hundred forty-six million, six hundred forty thousand, two hundred".