102120012000123 has 48 divisors (see below), whose sum is σ = 159565958565216. Its totient is φ = 57703836119040.

The previous prime is 102120012000103. The next prime is 102120012000163. The reversal of 102120012000123 is 321000210021201.

It is not a de Polignac number, because 102120012000123 - 2⁶ = 102120012000059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102120012000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110030836 + ... + 110955057.

It is an arithmetic number, because the mean of its divisors is an integer number (3324290803442).

Almost surely, 2^{102120012000123} is an apocalyptic number.

102120012000123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102120012000123 is a deficient number, since it is larger than the sum of its proper divisors (57445946565093).

102120012000123 is a wasteful number, since it uses less digits than its factorization.

102120012000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220985984 (or 220985967 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102120012000123 its reverse (321000210021201), we get a palindrome (423120222021324).

The spelling of 102120012000123 in words is "one hundred two trillion, one hundred twenty billion, twelve million, one hundred twenty-three", and thus it is an aban number.