102120112121121 has 24 divisors (see below), whose sum is σ = 149147423103744. Its totient is φ = 67324507437600.

The previous prime is 102120112120987. The next prime is 102120112121143. The reversal of 102120112121121 is 121121211021201.

It is a happy number.

It is not a de Polignac number, because 102120112121121 - 2¹⁷ = 102120111990049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102120112121094 and 102120112121103.

It is not an unprimeable number, because it can be changed into a prime (102120112121821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67170481 + ... + 68673966.

It is an arithmetic number, because the mean of its divisors is an integer number (6214475962656).

Almost surely, 2^{102120112121121} is an apocalyptic number.

It is an amenable number.

102120112121121 is a deficient number, since it is larger than the sum of its proper divisors (47027310982623).

102120112121121 is a wasteful number, since it uses less digits than its factorization.

102120112121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135845381 (or 135845378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102120112121121 its reverse (121121211021201), we get a palindrome (223241323142322).

The spelling of 102120112121121 in words is "one hundred two trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-one".