22011002221000 has 64 divisors (see below), whose sum is σ = 55467725629680. Its totient is φ = 8127139276800.

The previous prime is 22011002220947. The next prime is 22011002221049. The reversal of 22011002221000 is 12220011022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1076186311236 + 20934815909764 = 1037394^2 + 4575458^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 846564009 + ... + 846590008.

Almost surely, 2^{22011002221000} is an apocalyptic number.

22011002221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011002221000 is an abundant number, since it is smaller than the sum of its proper divisors (33456723408680).

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

22011002221000 is a wasteful number, since it uses less digits than its factorization.

22011002221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693154051 (or 1693154037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22011002221000 its reverse (12220011022), we get a palindrome (22023222232022).

It can be divided in two parts, 220110022 and 21000, that added together give a palindrome (220131022).

The spelling of 22011002221000 in words is "twenty-two trillion, eleven billion, two million, two hundred twenty-one thousand".