101010000977 has 2 divisors, whose sum is σ = 101010000978. Its totient is φ = 101010000976.

The previous prime is 101010000943. The next prime is 101010000997. The reversal of 101010000977 is 779000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90957131281 + 10052869696 = 301591^2 + 100264^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010000977 - 2⁶ = 101010000913 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010000997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000488 + 50505000489.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000489).

Almost surely, 2^101010000977 is an apocalyptic number.

It is an amenable number.

101010000977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000977 is an equidigital number, since it uses as much as digits as its factorization.

101010000977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 441, while the sum is 26.

The spelling of 101010000977 in words is "one hundred one billion, ten million, nine hundred seventy-seven", and thus it is an aban number.