221113020311122 has 96 divisors (see below), whose sum is σ = 346802443409664. Its totient is φ = 105701692608000.

The previous prime is 221113020311069. The next prime is 221113020311123.

It is a happy number.

221113020311122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221113020311122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221113020311093 and 221113020311102.

It is not an unprimeable number, because it can be changed into a prime (221113020311123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10513660747 + ... + 10513681777.

It is an arithmetic number, because the mean of its divisors is an integer number (3612525452184).

Almost surely, 2^{221113020311122} is an apocalyptic number.

221113020311122 is a deficient number, since it is larger than the sum of its proper divisors (125689423098542).

221113020311122 is a wasteful number, since it uses less digits than its factorization.

221113020311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21512 (or 21453 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 221113020311122 in words is "two hundred twenty-one trillion, one hundred thirteen billion, twenty million, three hundred eleven thousand, one hundred twenty-two".