1022100009977 has 2 divisors, whose sum is σ = 1022100009978. Its totient is φ = 1022100009976.

The previous prime is 1022100009929. The next prime is 1022100010003. The reversal of 1022100009977 is 7799000012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988550959081 + 33549050896 = 994259^2 + 183164^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022100009977 - 2⁶ = 1022100009913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022100009977.

It is not a weakly prime, because it can be changed into another prime (1022100009577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050004988 + 511050004989.

It is an arithmetic number, because the mean of its divisors is an integer number (511050004989).

Almost surely, 2^{1022100009977} is an apocalyptic number.

It is an amenable number.

1022100009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022100009977 is an equidigital number, since it uses as much as digits as its factorization.

1022100009977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 38.

The spelling of 1022100009977 in words is "one trillion, twenty-two billion, one hundred million, nine thousand, nine hundred seventy-seven".