101021012977 has 2 divisors, whose sum is σ = 101021012978. Its totient is φ = 101021012976.

The previous prime is 101021012951. The next prime is 101021013007. The reversal of 101021012977 is 779210120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64982167056 + 36038845921 = 254916^2 + 189839^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021012977 - 2²⁷ = 100886795249 is a prime.

It is not a weakly prime, because it can be changed into another prime (101021012077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510506488 + 50510506489.

It is an arithmetic number, because the mean of its divisors is an integer number (50510506489).

Almost surely, 2^101021012977 is an apocalyptic number.

It is an amenable number.

101021012977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021012977 is an equidigital number, since it uses as much as digits as its factorization.

101021012977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 31.

The spelling of 101021012977 in words is "one hundred one billion, twenty-one million, twelve thousand, nine hundred seventy-seven".