102112122012003 has 8 divisors (see below), whose sum is σ = 151277217795600. Its totient is φ = 68074748007984.

The previous prime is 102112122011953. The next prime is 102112122012011. The reversal of 102112122012003 is 300210221211201.

102112122012003 is a `hidden beast` number, since 10 + 211 + 21 + 220 + 1 + 200 + 3 = 666.

It is not a de Polignac number, because 102112122012003 - 2³⁷ = 101974683058531 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112122012053) 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 in 7 ways as a sum of consecutive naturals, for example, 1890965222418 + ... + 1890965222471.

It is an arithmetic number, because the mean of its divisors is an integer number (18909652224450).

Almost surely, 2^{102112122012003} is an apocalyptic number.

102112122012003 is a deficient number, since it is larger than the sum of its proper divisors (49165095783597).

102112122012003 is an equidigital number, since it uses as much as digits as its factorization.

102112122012003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781930444898 (or 3781930444892 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102112122012003 its reverse (300210221211201), we get a palindrome (402322343223204).

The spelling of 102112122012003 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, twelve thousand, three".