12102420121 has 27 divisors (see below), whose sum is σ = 13586551293. Its totient is φ = 10772277120.

The previous prime is 12102420107. The next prime is 12102420131.

The square root of 12102420121 is 110011.

It is a perfect power (a square), and thus also a powerful number.

12102420121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 291077721 + 11811342400 = 17061^2 + 108680^2 .

It is not a de Polignac number, because 12102420121 - 2⁷ = 12102419993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12102420095 and 12102420104.

It is not an unprimeable number, because it can be changed into a prime (12102420131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88338765 + ... + 88338901.

Almost surely, 2^12102420121 is an apocalyptic number.

12102420121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12102420121 is the 110011-st square number.

12102420121 is the 55006-th centered octagonal number.

It is an amenable number.

12102420121 is a deficient number, since it is larger than the sum of its proper divisors (1484131172).

12102420121 is an frugal number, since it uses more digits than its factorization.

12102420121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Multiplying 12102420121 by its sum of digits (16), we get a square (193638721936 = 440044²).

Multiplying 12102420121 by its product of nonzero digits (64), we get a square (774554887744 = 880088²).

The spelling of 12102420121 in words is "twelve billion, one hundred two million, four hundred twenty thousand, one hundred twenty-one".