101000000009977 has 2 divisors, whose sum is σ = 101000000009978. Its totient is φ = 101000000009976.

The previous prime is 101000000009959. The next prime is 101000000010001. The reversal of 101000000009977 is 779900000000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77201106125056 + 23798893884921 = 8786416^2 + 4878411^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000000009977 - 2⁷ = 101000000009849 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000000009177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000004988 + 50500000004989.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000004989).

Almost surely, 2^{101000000009977} is an apocalyptic number.

It is an amenable number.

101000000009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000000009977 is an equidigital number, since it uses as much as digits as its factorization.

101000000009977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3969, while the sum is 34.

The spelling of 101000000009977 in words is "one hundred one trillion, nine thousand, nine hundred seventy-seven".