10100610505560 has 128 divisors (see below), whose sum is σ = 32372734867200. Its totient is φ = 2513647572480.

The previous prime is 10100610505481. The next prime is 10100610505597. The reversal of 10100610505560 is 6550501600101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32907631 + ... + 33213150.

It is an arithmetic number, because the mean of its divisors is an integer number (252911991150).

Almost surely, 2^{10100610505560} is an apocalyptic number.

10100610505560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100610505560 is an abundant number, since it is smaller than the sum of its proper divisors (22272124361640).

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

10100610505560 is a wasteful number, since it uses less digits than its factorization.

10100610505560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66120881 (or 66120877 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 10100610505560 in words is "ten trillion, one hundred billion, six hundred ten million, five hundred five thousand, five hundred sixty".