10501200400 has 60 divisors (see below), whose sum is σ = 26043007744. Its totient is φ = 4064976000.

The previous prime is 10501200397. The next prime is 10501200433. The reversal of 10501200400 is 400210501.

It is a super-2 number, since 2×10501200400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411036 + ... + 435835.

Almost surely, 2^10501200400 is an apocalyptic number.

10501200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10501200400 is an abundant number, since it is smaller than the sum of its proper divisors (15541807344).

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

10501200400 is a wasteful number, since it uses less digits than its factorization.

10501200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846920 (or 846909 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 10501200400 its reverse (400210501), we get a palindrome (10901410901).

The spelling of 10501200400 in words is "ten billion, five hundred one million, two hundred thousand, four hundred".