221102101211121 has 64 divisors (see below), whose sum is σ = 361369945520640. Its totient is φ = 132740308500480.

The previous prime is 221102101211111. The next prime is 221102101211161. The reversal of 221102101211121 is 121112101201122.

It is a happy number.

221102101211121 is a `hidden beast` number, since 2 + 211 + 0 + 210 + 121 + 1 + 121 = 666.

It is not a de Polignac number, because 221102101211121 - 2⁴² = 216704054700017 is a prime.

It is a super-2 number, since 2×221102101211121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221102101211094 and 221102101211103.

It is not an unprimeable number, because it can be changed into a prime (221102101211111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 530632561 + ... + 531049073.

It is an arithmetic number, because the mean of its divisors is an integer number (5646405398760).

Almost surely, 2^{221102101211121} is an apocalyptic number.

It is an amenable number.

221102101211121 is a deficient number, since it is larger than the sum of its proper divisors (140267844309519).

221102101211121 is a wasteful number, since it uses less digits than its factorization.

221102101211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453463 (or 453457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221102101211121 its reverse (121112101201122), we get a palindrome (342214202412243).

Subtracting from 221102101211121 its reverse (121112101201122), we obtain a palindrome (99990000009999).

The spelling of 221102101211121 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred one million, two hundred eleven thousand, one hundred twenty-one".