10401560100 has 54 divisors (see below), whose sum is σ = 32603115090. Its totient is φ = 2773749120.

The previous prime is 10401560093. The next prime is 10401560101. The reversal of 10401560100 is 106510401.

10401560100 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 560 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8573184 + 10392986916 = 2928^2 + 101946^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10401560101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5777745 + ... + 5779544.

Almost surely, 2^10401560100 is an apocalyptic number.

10401560100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401560100 is an abundant number, since it is smaller than the sum of its proper divisors (22201554990).

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

10401560100 is a wasteful number, since it uses less digits than its factorization.

10401560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557309 (or 11557299 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 10401560100 in words is "ten billion, four hundred one million, five hundred sixty thousand, one hundred".