102120121022121 has 20 divisors (see below), whose sum is σ = 152831787949764. Its totient is φ = 67954239468000.

The previous prime is 102120121022119. The next prime is 102120121022131. The reversal of 102120121022121 is 121220121021201.

102120121022121 is a `hidden beast` number, since 1 + 0 + 212 + 0 + 1 + 210 + 221 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83054715726096 + 19065405296025 = 9113436^2 + 4366395^2 .

It is not a de Polignac number, because 102120121022121 - 2¹ = 102120121022119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102120121022094 and 102120121022103.

It is not an unprimeable number, because it can be changed into a prime (102120121022131) 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 19 ways as a sum of consecutive naturals, for example, 1165152330 + ... + 1165239971.

Almost surely, 2^{102120121022121} is an apocalyptic number.

It is an amenable number.

102120121022121 is a deficient number, since it is larger than the sum of its proper divisors (50711666927643).

102120121022121 is an equidigital number, since it uses as much as digits as its factorization.

102120121022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330392854 (or 2330392845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102120121022121 its reverse (121220121021201), we get a palindrome (223340242043322).

The spelling of 102120121022121 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty-one".