101110000109977 has 2 divisors, whose sum is σ = 101110000109978. Its totient is φ = 101110000109976.

The previous prime is 101110000109933. The next prime is 101110000110011. The reversal of 101110000109977 is 779901000011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50878704650761 + 50231295459216 = 7132931^2 + 7087404^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110000109977 - 2⁷ = 101110000109849 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110000109077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555000054988 + 50555000054989.

It is an arithmetic number, because the mean of its divisors is an integer number (50555000054989).

Almost surely, 2^{101110000109977} is an apocalyptic number.

It is an amenable number.

101110000109977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110000109977 is an equidigital number, since it uses as much as digits as its factorization.

101110000109977 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 101110000109977 in words is "one hundred one trillion, one hundred ten billion, one hundred nine thousand, nine hundred seventy-seven".