12102100120121 has 16 divisors (see below), whose sum is σ = 13549233614400. Its totient is φ = 10716211915200.

The previous prime is 12102100120051. The next prime is 12102100120133.

12102100120121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12102100120121 - 2¹⁰ = 12102100119097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12102100120096 and 12102100120105.

It is not an unprimeable number, because it can be changed into a prime (12102100120181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85467350 + ... + 85608831.

It is an arithmetic number, because the mean of its divisors is an integer number (846827100900).

Almost surely, 2^{12102100120121} is an apocalyptic number.

12102100120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102100120121 is a deficient number, since it is larger than the sum of its proper divisors (1447133494279).

12102100120121 is a wasteful number, since it uses less digits than its factorization.

12102100120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171076360.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 12102100 and 120121, that added together give a palindrome (12222221).

The spelling of 12102100120121 in words is "twelve trillion, one hundred two billion, one hundred million, one hundred twenty thousand, one hundred twenty-one".