101100100100971 has 2 divisors, whose sum is σ = 101100100100972. Its totient is φ = 101100100100970.

The previous prime is 101100100100959. The next prime is 101100100101001. The reversal of 101100100100971 is 179001001001101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101100100100971 - 2¹¹ = 101100100098923 is a prime.

It is not a weakly prime, because it can be changed into another prime (101100100100071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550050050485 + 50550050050486.

It is an arithmetic number, because the mean of its divisors is an integer number (50550050050486).

Almost surely, 2^{101100100100971} is an apocalyptic number.

101100100100971 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100100100971 is an equidigital number, since it uses as much as digits as its factorization.

101100100100971 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 22.

The spelling of 101100100100971 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred thousand, nine hundred seventy-one".