102111112121 has 8 divisors (see below), whose sum is σ = 109513408320. Its totient is φ = 94911618672.

The previous prime is 102111112111. The next prime is 102111112123. The reversal of 102111112121 is 121211111201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102111112121 - 2⁶ = 102111112057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102111112096 and 102111112105.

It is not an unprimeable number, because it can be changed into a prime (102111112123) 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, 50699645 + ... + 50701658.

It is an arithmetic number, because the mean of its divisors is an integer number (13689176040).

Almost surely, 2^102111112121 is an apocalyptic number.

It is an amenable number.

102111112121 is a deficient number, since it is larger than the sum of its proper divisors (7402296199).

102111112121 is a wasteful number, since it uses less digits than its factorization.

102111112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101401375.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102111112121 its reverse (121211111201), we get a palindrome (223322223322).

The spelling of 102111112121 in words is "one hundred two billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-one".