101010010010977 has 2 divisors, whose sum is σ = 101010010010978. Its totient is φ = 101010010010976.

The previous prime is 101010010010953. The next prime is 101010010010981. The reversal of 101010010010977 is 779010010010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75973606768656 + 25036403242321 = 8716284^2 + 5003639^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010010010977 - 2⁴³ = 92213916988769 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010010010177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005005488 + 50505005005489.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005005489).

Almost surely, 2^{101010010010977} is an apocalyptic number.

It is an amenable number.

101010010010977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010010977 is an equidigital number, since it uses as much as digits as its factorization.

101010010010977 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 28.

The spelling of 101010010010977 in words is "one hundred one trillion, ten billion, ten million, ten thousand, nine hundred seventy-seven".