101010011009977 has 2 divisors, whose sum is σ = 101010011009978. Its totient is φ = 101010011009976.

The previous prime is 101010011009939. The next prime is 101010011009987. The reversal of 101010011009977 is 779900110010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96156145493776 + 4853865516201 = 9805924^2 + 2203149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010011009977 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010011009987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005504988 + 50505005504989.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005504989).

Almost surely, 2^{101010011009977} is an apocalyptic number.

It is an amenable number.

101010011009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010011009977 is an equidigital number, since it uses as much as digits as its factorization.

101010011009977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 37.

The spelling of 101010011009977 in words is "one hundred one trillion, ten billion, eleven million, nine thousand, nine hundred seventy-seven".