22200221211121 has 24 divisors (see below), whose sum is σ = 23187396771000. Its totient is φ = 21229619174400.

The previous prime is 22200221211067. The next prime is 22200221211143. The reversal of 22200221211121 is 12111212200222.

It can be written as a sum of positive squares in 12 ways, for example, as 5992390660096 + 16207830551025 = 2447936^2 + 4025895^2 .

It is a de Polignac number, because none of the positive numbers 2^k-22200221211121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22200221211521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224646921 + ... + 224745721.

It is an arithmetic number, because the mean of its divisors is an integer number (966141532125).

Almost surely, 2^{22200221211121} is an apocalyptic number.

It is an amenable number.

22200221211121 is a deficient number, since it is larger than the sum of its proper divisors (987175559879).

22200221211121 is an equidigital number, since it uses as much as digits as its factorization.

22200221211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99477 (or 99328 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 22200221211121 its reverse (12111212200222), we get a palindrome (34311433411343).

The spelling of 22200221211121 in words is "twenty-two trillion, two hundred billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".