221211120013121 has 32 divisors (see below), whose sum is σ = 260823644774400. Its totient is φ = 187523103716928.

The previous prime is 221211120013043. The next prime is 221211120013211. The reversal of 221211120013121 is 121310021112122.

It is not a de Polignac number, because 221211120013121 - 2²² = 221211115818817 is a prime.

It is a super-2 number, since 2×221211120013121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221211120013093 and 221211120013102.

It is not an unprimeable number, because it can be changed into a prime (221211120019121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5799071 + ... + 21818603.

It is an arithmetic number, because the mean of its divisors is an integer number (8150738899200).

Almost surely, 2^{221211120013121} is an apocalyptic number.

It is an amenable number.

221211120013121 is a deficient number, since it is larger than the sum of its proper divisors (39612524761279).

221211120013121 is a wasteful number, since it uses less digits than its factorization.

221211120013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16019998 (or 16019984 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 221211120013121 its reverse (121310021112122), we get a palindrome (342521141125243).

The spelling of 221211120013121 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred twenty million, thirteen thousand, one hundred twenty-one".