100111010009977 has 2 divisors, whose sum is σ = 100111010009978. Its totient is φ = 100111010009976.

The previous prime is 100111010009891. The next prime is 100111010009999. The reversal of 100111010009977 is 779900010111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99708532693056 + 402477316921 = 9985416^2 + 634411^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111010009977 - 2¹⁹ = 100111009485689 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111010069977) 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, 50055505004988 + 50055505004989.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505004989).

Almost surely, 2^{100111010009977} is an apocalyptic number.

It is an amenable number.

100111010009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010009977 is an equidigital number, since it uses as much as digits as its factorization.

100111010009977 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 37.

The spelling of 100111010009977 in words is "one hundred trillion, one hundred eleven billion, ten million, nine thousand, nine hundred seventy-seven".