10101000009977 has 2 divisors, whose sum is σ = 10101000009978. Its totient is φ = 10101000009976.

The previous prime is 10101000009943. The next prime is 10101000009979. The reversal of 10101000009977 is 77990000010101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9868117518736 + 232882491241 = 3141356^2 + 482579^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101000009977 - 2²⁴ = 10100983232761 is a prime.

Together with 10101000009979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10101000009979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500004988 + 5050500004989.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500004989).

Almost surely, 2^{10101000009977} is an apocalyptic number.

It is an amenable number.

10101000009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101000009977 is an equidigital number, since it uses as much as digits as its factorization.

10101000009977 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 35.

The spelling of 10101000009977 in words is "ten trillion, one hundred one billion, nine thousand, nine hundred seventy-seven".