10400201120 has 24 divisors (see below), whose sum is σ = 24570475524. Its totient is φ = 4160080384.

The previous prime is 10400201117. The next prime is 10400201143. The reversal of 10400201120 is 2110200401.

It can be written as a sum of positive squares in 2 ways, for example, as 9141654544 + 1258546576 = 95612^2 + 35476^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32500469 + ... + 32500788.

Almost surely, 2^10400201120 is an apocalyptic number.

10400201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400201120 is an abundant number, since it is smaller than the sum of its proper divisors (14170274404).

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

10400201120 is an equidigital number, since it uses as much as digits as its factorization.

10400201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65001272 (or 65001264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10400201120 its reverse (2110200401), we get a palindrome (12510401521).

The spelling of 10400201120 in words is "ten billion, four hundred million, two hundred one thousand, one hundred twenty".