12100122100121 has 4 divisors (see below), whose sum is σ = 13200133200144. Its totient is φ = 11000111000100.

The previous prime is 12100122100117. The next prime is 12100122100123.

12100122100121 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 12100122100121 - 2² = 12100122100117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100122100096 and 12100122100105.

It is not an unprimeable number, because it can be changed into a prime (12100122100123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550005549995 + ... + 550005550016.

It is an arithmetic number, because the mean of its divisors is an integer number (3300033300036).

Almost surely, 2^{12100122100121} is an apocalyptic number.

12100122100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100122100121 is a deficient number, since it is larger than the sum of its proper divisors (1100011100023).

12100122100121 is a wasteful number, since it uses less digits than its factorization.

12100122100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100011100022.

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

It can be divided in two parts, 1210012 and 2100121, that added together give a palindrome (3310133).

The spelling of 12100122100121 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-one".