102112120139977 has 2 divisors, whose sum is σ = 102112120139978. Its totient is φ = 102112120139976.

The previous prime is 102112120139971. The next prime is 102112120139999. The reversal of 102112120139977 is 779931021211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96998782649616 + 5113337490361 = 9848796^2 + 2261269^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112120139977 - 2¹⁵ = 102112120107209 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112120139971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056060069988 + 51056060069989.

It is an arithmetic number, because the mean of its divisors is an integer number (51056060069989).

Almost surely, 2^{102112120139977} is an apocalyptic number.

It is an amenable number.

102112120139977 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112120139977 is an equidigital number, since it uses as much as digits as its factorization.

102112120139977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 95256, while the sum is 46.

The spelling of 102112120139977 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty million, one hundred thirty-nine thousand, nine hundred seventy-seven".