12100222200121 has 16 divisors (see below), whose sum is σ = 13629835726848. Its totient is φ = 10642404387600.

The previous prime is 12100222200113. The next prime is 12100222200137.

It is a happy number.

12100222200121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12100222200121 - 2³ = 12100222200113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100222200095 and 12100222200104.

It is not an unprimeable number, because it can be changed into a prime (12100222200191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3688855 + ... + 6148828.

It is an arithmetic number, because the mean of its divisors is an integer number (851864732928).

Almost surely, 2^{12100222200121} is an apocalyptic number.

12100222200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100222200121 is a deficient number, since it is larger than the sum of its proper divisors (1529613526727).

12100222200121 is a wasteful number, since it uses less digits than its factorization.

12100222200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9841332.

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

It can be divided in two parts, 1210022 and 2200121, that added together give a palindrome (3410143).

The spelling of 12100222200121 in words is "twelve trillion, one hundred billion, two hundred twenty-two million, two hundred thousand, one hundred twenty-one".