102112120109977 has 2 divisors, whose sum is σ = 102112120109978. Its totient is φ = 102112120109976.

The previous prime is 102112120109959. The next prime is 102112120110023. The reversal of 102112120109977 is 779901021211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67007632700761 + 35104487409216 = 8185819^2 + 5924904^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112120109977 - 2³¹ = 102109972626329 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112120139977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056060054988 + 51056060054989.

It is an arithmetic number, because the mean of its divisors is an integer number (51056060054989).

Almost surely, 2^{102112120109977} is an apocalyptic number.

It is an amenable number.

102112120109977 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112120109977 is an equidigital number, since it uses as much as digits as its factorization.

102112120109977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752, while the sum is 43.

The spelling of 102112120109977 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty million, one hundred nine thousand, nine hundred seventy-seven".