221121002011122 has 48 divisors (see below), whose sum is σ = 479217128881920. Its totient is φ = 73688291611200.

The previous prime is 221121002011099. The next prime is 221121002011127. The reversal of 221121002011122 is 221110200121122.

221121002011122 is a `hidden beast` number, since 221 + 1 + 210 + 0 + 201 + 11 + 22 = 666.

It is a super-2 number, since 2×221121002011122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221121002011095 and 221121002011104.

It is not an unprimeable number, because it can be changed into a prime (221121002011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1202181879 + ... + 1202365797.

It is an arithmetic number, because the mean of its divisors is an integer number (9983690185040).

Almost surely, 2^{221121002011122} is an apocalyptic number.

221121002011122 is an abundant number, since it is smaller than the sum of its proper divisors (258096126870798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221121002011122 is a wasteful number, since it uses less digits than its factorization.

221121002011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200519 (or 200516 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221121002011122 its reverse (221110200121122), we get a palindrome (442231202132244).

The spelling of 221121002011122 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two million, eleven thousand, one hundred twenty-two".