10401037077700 has 18 divisors (see below), whose sum is σ = 22570250458826. Its totient is φ = 4160414831040.

The previous prime is 10401037077677. The next prime is 10401037077713. The reversal of 10401037077700 is 777073010401.

It can be written as a sum of positive squares in 3 ways, for example, as 1722792752704 + 8678244324996 = 1312552^2 + 2945886^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10401037077700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52005185289 + ... + 52005185488.

Almost surely, 2^{10401037077700} is an apocalyptic number.

10401037077700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401037077700 is an abundant number, since it is smaller than the sum of its proper divisors (12169213381126).

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

10401037077700 is a wasteful number, since it uses less digits than its factorization.

10401037077700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104010370791 (or 104010370784 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 37.

The spelling of 10401037077700 in words is "ten trillion, four hundred one billion, thirty-seven million, seventy-seven thousand, seven hundred".