11222120120100 has 144 divisors (see below), whose sum is σ = 32784009522432. Its totient is φ = 2963692851840.

The previous prime is 11222120120089. The next prime is 11222120120147. The reversal of 11222120120100 is 102102122211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11222120120100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13433239 + ... + 14244161.

Almost surely, 2^{11222120120100} is an apocalyptic number.

11222120120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222120120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392004761216).

11222120120100 is an abundant number, since it is smaller than the sum of its proper divisors (21561889402332).

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

11222120120100 is a wasteful number, since it uses less digits than its factorization.

11222120120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811386 (or 811379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11222120120100 its reverse (102102122211), we get a palindrome (11324222242311).

The spelling of 11222120120100 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twenty thousand, one hundred".