100510010605561 has 64 divisors (see below), whose sum is σ = 112695548313600. Its totient is φ = 89214483456000.

The previous prime is 100510010605549. The next prime is 100510010605567. The reversal of 100510010605561 is 165506010015001.

It is not a de Polignac number, because 100510010605561 - 2⁹ = 100510010605049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (100510010605567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1287741865 + ... + 1287819913.

It is an arithmetic number, because the mean of its divisors is an integer number (1760867942400).

Almost surely, 2^{100510010605561} is an apocalyptic number.

It is an amenable number.

100510010605561 is a deficient number, since it is larger than the sum of its proper divisors (12185537708039).

100510010605561 is a wasteful number, since it uses less digits than its factorization.

100510010605561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78566.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 100510010605561 in words is "one hundred trillion, five hundred ten billion, ten million, six hundred five thousand, five hundred sixty-one".