221112101012121 has 160 divisors (see below), whose sum is σ = 372440383603200. Its totient is φ = 129587740773120.

The previous prime is 221112101012051. The next prime is 221112101012161. The reversal of 221112101012121 is 121210101211122.

It is a happy number.

221112101012121 is a `hidden beast` number, since 221 + 11 + 210 + 10 + 1 + 212 + 1 = 666.

It is not a de Polignac number, because 221112101012121 - 2²¹ = 221112098914969 is a prime.

It is a super-2 number, since 2×221112101012121² (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 = 221112101012094 and 221112101012103.

It is not an unprimeable number, because it can be changed into a prime (221112101012161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1454350510 + ... + 1454502536.

It is an arithmetic number, because the mean of its divisors is an integer number (2327752397520).

Almost surely, 2^{221112101012121} is an apocalyptic number.

It is an amenable number.

221112101012121 is a deficient number, since it is larger than the sum of its proper divisors (151328282591079).

221112101012121 is a wasteful number, since it uses less digits than its factorization.

221112101012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152561 (or 152552 counting only the distinct ones).

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

Adding to 221112101012121 its reverse (121210101211122), we get a palindrome (342322202223243).

The spelling of 221112101012121 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred one million, twelve thousand, one hundred twenty-one".