102112100000993 has 2 divisors, whose sum is σ = 102112100000994. Its totient is φ = 102112100000992.

The previous prime is 102112100000969. The next prime is 102112100001031. The reversal of 102112100000993 is 399000001211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73271408656384 + 28840691344609 = 8559872^2 + 5370353^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112100000993 - 2⁸ = 102112100000737 is a prime.

It is a super-2 number, since 2×102112100000993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102112100050993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056050000496 + 51056050000497.

It is an arithmetic number, because the mean of its divisors is an integer number (51056050000497).

Almost surely, 2^{102112100000993} is an apocalyptic number.

It is an amenable number.

102112100000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112100000993 is an equidigital number, since it uses as much as digits as its factorization.

102112100000993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 102112100000993 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, nine hundred ninety-three", and thus it is an aban number.