102101122123 has 16 divisors (see below), whose sum is σ = 137086822656. Its totient is φ = 73439367840.

The previous prime is 102101122049. The next prime is 102101122199. The reversal of 102101122123 is 321221101201.

It is a cyclic number.

It is not a de Polignac number, because 102101122123 - 2¹⁷ = 102100991051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101122097 and 102101122106.

It is not an unprimeable number, because it can be changed into a prime (102101125123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50998561 + ... + 51000562.

It is an arithmetic number, because the mean of its divisors is an integer number (8567926416).

Almost surely, 2^102101122123 is an apocalyptic number.

102101122123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102101122123 is a deficient number, since it is larger than the sum of its proper divisors (34985700533).

102101122123 is a wasteful number, since it uses less digits than its factorization.

102101122123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101999154.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102101122123 its reverse (321221101201), we get a palindrome (423322223324).

The spelling of 102101122123 in words is "one hundred two billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-three".