22211111111121 has 12 divisors (see below), whose sum is σ = 33969934640772. Its totient is φ = 13936383442176.

The previous prime is 22211111111081. The next prime is 22211111111129. The reversal of 22211111111121 is 12111111111222.

It can be written as a sum of positive squares in 2 ways, for example, as 9091039068225 + 13120072042896 = 3015135^2 + 3622164^2 .

It is not a de Polignac number, because 22211111111121 - 2¹⁵ = 22211111078353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22211111111094 and 22211111111103.

It is not an unprimeable number, because it can be changed into a prime (22211111111129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72585330276 + ... + 72585330581.

It is an arithmetic number, because the mean of its divisors is an integer number (2830827886731).

Almost surely, 2^{22211111111121} is an apocalyptic number.

It is an amenable number.

22211111111121 is a deficient number, since it is larger than the sum of its proper divisors (11758823529651).

22211111111121 is a wasteful number, since it uses less digits than its factorization.

22211111111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145170660880 (or 145170660877 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 22211111111121 its reverse (12111111111222), we get a palindrome (34322222222343).

The spelling of 22211111111121 in words is "twenty-two trillion, two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".