10100110100983 has 16 divisors (see below), whose sum is σ = 12237922144000. Its totient is φ = 8142588882432.

The previous prime is 10100110100957. The next prime is 10100110100999. The reversal of 10100110100983 is 38900101100101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100110100983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110100783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273149418 + ... + 273186391.

It is an arithmetic number, because the mean of its divisors is an integer number (764870134000).

Almost surely, 2^{10100110100983} is an apocalyptic number.

10100110100983 is a deficient number, since it is larger than the sum of its proper divisors (2137812043017).

10100110100983 is a wasteful number, since it uses less digits than its factorization.

10100110100983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546335974.

The product of its (nonzero) digits is 216, while the sum is 25.

The spelling of 10100110100983 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred thousand, nine hundred eighty-three".