2222100111121 has 16 divisors (see below), whose sum is σ = 2434269700800. Its totient is φ = 2011639250880.

The previous prime is 2222100111031. The next prime is 2222100111271. The reversal of 2222100111121 is 1211110012222.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2222100111121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2222100111095 and 2222100111104.

It is not an unprimeable number, because it can be changed into a prime (2222100111821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2523810 + ... + 3288436.

It is an arithmetic number, because the mean of its divisors is an integer number (152141856300).

Almost surely, 2^{2222100111121} is an apocalyptic number.

It is an amenable number.

2222100111121 is a deficient number, since it is larger than the sum of its proper divisors (212169589679).

2222100111121 is a wasteful number, since it uses less digits than its factorization.

2222100111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765744.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2222100111121 its reverse (1211110012222), we get a palindrome (3433210123343).

The spelling of 2222100111121 in words is "two trillion, two hundred twenty-two billion, one hundred million, one hundred eleven thousand, one hundred twenty-one".