10115222400 has 144 divisors (see below), whose sum is σ = 36093534360. Its totient is φ = 2697384960.

The previous prime is 10115222399. The next prime is 10115222461. The reversal of 10115222400 is 422251101.

10115222400 is a `hidden beast` number, since 101 + 1 + 522 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 146812 + ... + 204411.

Almost surely, 2^10115222400 is an apocalyptic number.

10115222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10115222400 is an abundant number, since it is smaller than the sum of its proper divisors (25978311960).

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

10115222400 is a wasteful number, since it uses less digits than its factorization.

10115222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351253 (or 351233 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10115222400 its reverse (422251101), we get a palindrome (10537473501).

The spelling of 10115222400 in words is "ten billion, one hundred fifteen million, two hundred twenty-two thousand, four hundred".