10221657256300 has 72 divisors (see below), whose sum is σ = 25388891506944. Its totient is φ = 3499151403840.

The previous prime is 10221657256277. The next prime is 10221657256313. The reversal of 10221657256300 is 365275612201.

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, 10831774 + ... + 11737573.

It is an arithmetic number, because the mean of its divisors is an integer number (352623493152).

Almost surely, 2^{10221657256300} is an apocalyptic number.

10221657256300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221657256300 is an abundant number, since it is smaller than the sum of its proper divisors (15167234250644).

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

10221657256300 is a wasteful number, since it uses less digits than its factorization.

10221657256300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22570015 (or 22570008 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 10221657256300 in words is "ten trillion, two hundred twenty-one billion, six hundred fifty-seven million, two hundred fifty-six thousand, three hundred".