100102112123 has 32 divisors (see below), whose sum is σ = 114184896000. Its totient is φ = 86993222400.

The previous prime is 100102112107. The next prime is 100102112179. The reversal of 100102112123 is 321211201001.

It is a cyclic number.

It is not a de Polignac number, because 100102112123 - 2⁴ = 100102112107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102112098 and 100102112107.

It is not an unprimeable number, because it can be changed into a prime (100102112423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54669818 + ... + 54671648.

It is an arithmetic number, because the mean of its divisors is an integer number (3568278000).

Almost surely, 2^100102112123 is an apocalyptic number.

100102112123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100102112123 is a deficient number, since it is larger than the sum of its proper divisors (14082783877).

100102112123 is a wasteful number, since it uses less digits than its factorization.

100102112123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100102112123 its reverse (321211201001), we get a palindrome (421313313124).

The spelling of 100102112123 in words is "one hundred billion, one hundred two million, one hundred twelve thousand, one hundred twenty-three".