22000111102100 has 72 divisors (see below), whose sum is σ = 47847686703096. Its totient is φ = 8780256000000.

The previous prime is 22000111102063. The next prime is 22000111102147. The reversal of 22000111102100 is 120111100022.

It can be written as a sum of positive squares in 12 ways, for example, as 57275976976 + 21942835125124 = 239324^2 + 4684318^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103325750 + ... + 103538450.

Almost surely, 2^{22000111102100} is an apocalyptic number.

22000111102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000111102100 is an abundant number, since it is smaller than the sum of its proper divisors (25847575600996).

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

22000111102100 is a wasteful number, since it uses less digits than its factorization.

22000111102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215037 (or 215030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22000111102100 its reverse (120111100022), we get a palindrome (22120222202122).

The spelling of 22000111102100 in words is "twenty-two trillion, one hundred eleven million, one hundred two thousand, one hundred".