56010001000101 has 48 divisors (see below), whose sum is σ = 82266766851456. Its totient is φ = 33827437873152.

The previous prime is 56010001000087. The next prime is 56010001000181. The reversal of 56010001000101 is 10100010001065.

56010001000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56010001000101 - 2²⁶ = 56009933891237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56010001000181) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 91184661 + ... + 91796853.

It is an arithmetic number, because the mean of its divisors is an integer number (1713890976072).

Almost surely, 2^{56010001000101} is an apocalyptic number.

It is an amenable number.

56010001000101 is a deficient number, since it is larger than the sum of its proper divisors (26256765851355).

56010001000101 is a wasteful number, since it uses less digits than its factorization.

56010001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615930 (or 615911 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 56010001000101 its reverse (10100010001065), we get a palindrome (66110011001166).

It can be divided in two parts, 5 and 6010001000101, that added together give a palindrome (6010001000106).

The spelling of 56010001000101 in words is "fifty-six trillion, ten billion, one million, one hundred one", and thus it is an aban number.