102112133101019 has 2 divisors, whose sum is σ = 102112133101020. Its totient is φ = 102112133101018.

The previous prime is 102112133101007. The next prime is 102112133101129. The reversal of 102112133101019 is 910101331211201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102112133101019 - 2¹⁶ = 102112133035483 is a prime.

It is a super-2 number, since 2×102112133101019² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102112133301019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056066550509 + 51056066550510.

It is an arithmetic number, because the mean of its divisors is an integer number (51056066550510).

Almost surely, 2^{102112133101019} is an apocalyptic number.

102112133101019 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112133101019 is an equidigital number, since it uses as much as digits as its factorization.

102112133101019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 102112133101019 in words is "one hundred two trillion, one hundred twelve billion, one hundred thirty-three million, one hundred one thousand, nineteen".