101011001000977 has 2 divisors, whose sum is σ = 101011001000978. Its totient is φ = 101011001000976.

The previous prime is 101011001000971. The next prime is 101011001001007. The reversal of 101011001000977 is 779000100110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56468070946576 + 44542930054401 = 7514524^2 + 6674049^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011001000977 - 2³⁹ = 100461245187089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011001000971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500500488 + 50505500500489.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500500489).

Almost surely, 2^{101011001000977} is an apocalyptic number.

It is an amenable number.

101011001000977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011001000977 is an equidigital number, since it uses as much as digits as its factorization.

101011001000977 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 101011001000977 in words is "one hundred one trillion, eleven billion, one million, nine hundred seventy-seven", and thus it is an aban number.