102101110212121 has 16 divisors (see below), whose sum is σ = 109332696499200. Its totient is φ = 95134630449600.

The previous prime is 102101110212077. The next prime is 102101110212139. The reversal of 102101110212121 is 121212011101201.

It is a cyclic number.

It is not a de Polignac number, because 102101110212121 - 2⁹ = 102101110211609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101110212095 and 102101110212104.

It is not an unprimeable number, because it can be changed into a prime (102101110212161) 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 15 ways as a sum of consecutive naturals, for example, 157855350 + ... + 158500831.

It is an arithmetic number, because the mean of its divisors is an integer number (6833293531200).

Almost surely, 2^{102101110212121} is an apocalyptic number.

It is an amenable number.

102101110212121 is a deficient number, since it is larger than the sum of its proper divisors (7231586287079).

102101110212121 is a wasteful number, since it uses less digits than its factorization.

102101110212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316356600.

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

Adding to 102101110212121 its reverse (121212011101201), we get a palindrome (223313121313322).

The spelling of 102101110212121 in words is "one hundred two trillion, one hundred one billion, one hundred ten million, two hundred twelve thousand, one hundred twenty-one".