102112099993 has 2 divisors, whose sum is σ = 102112099994. Its totient is φ = 102112099992.

The previous prime is 102112099987. The next prime is 102112099997. The reversal of 102112099993 is 399990211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97385812489 + 4726287504 = 312067^2 + 68748^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112099993 - 2¹⁷ = 102111968921 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112099997) 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, 51056049996 + 51056049997.

It is an arithmetic number, because the mean of its divisors is an integer number (51056049997).

Almost surely, 2^102112099993 is an apocalyptic number.

It is an amenable number.

102112099993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112099993 is an equidigital number, since it uses as much as digits as its factorization.

102112099993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 46.

The spelling of 102112099993 in words is "one hundred two billion, one hundred twelve million, ninety-nine thousand, nine hundred ninety-three".