101112020001977 has 2 divisors, whose sum is σ = 101112020001978. Its totient is φ = 101112020001976.

The previous prime is 101112020001917. The next prime is 101112020002033. The reversal of 101112020001977 is 779100020211101.

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., 93168748540816 + 7943271461161 = 9652396^2 + 2818381^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112020001977 - 2⁸ = 101112020001721 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112020001907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556010000988 + 50556010000989.

It is an arithmetic number, because the mean of its divisors is an integer number (50556010000989).

Almost surely, 2^{101112020001977} is an apocalyptic number.

It is an amenable number.

101112020001977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112020001977 is an equidigital number, since it uses as much as digits as its factorization.

101112020001977 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 32.

The spelling of 101112020001977 in words is "one hundred one trillion, one hundred twelve billion, twenty million, one thousand, nine hundred seventy-seven".