12100111100121 has 256 divisors, whose sum is σ = 19526729564160. Its totient is φ = 6592594821120.

The previous prime is 12100111100107. The next prime is 12100111100153.

12100111100121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12100111100121 - 2²⁹ = 12099574229209 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12100111100097 and 12100111100106.

It is not an unprimeable number, because it can be changed into a prime (12100111100171) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16643893860 + ... + 16643894586.

It is an arithmetic number, because the mean of its divisors is an integer number (76276287360).

Almost surely, 2^{12100111100121} is an apocalyptic number.

12100111100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100111100121 is a deficient number, since it is larger than the sum of its proper divisors (7426618464039).

12100111100121 is a wasteful number, since it uses less digits than its factorization.

12100111100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1210011 and 1100121, that multiplied together give a palindrome (1331158511331).

The spelling of 12100111100121 in words is "twelve trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred twenty-one".