11222121120100 has 216 divisors, whose sum is σ = 27697842724608. Its totient is φ = 3909912000000.

The previous prime is 11222121120079. The next prime is 11222121120103. The reversal of 11222121120100 is 102112122211.

It is not an unprimeable number, because it can be changed into a prime (11222121120103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 347837970 + ... + 347870230.

Almost surely, 2^{11222121120100} is an apocalyptic number.

11222121120100 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 11222121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848921362304).

11222121120100 is an abundant number, since it is smaller than the sum of its proper divisors (16475721604508).

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

11222121120100 is a wasteful number, since it uses less digits than its factorization.

11222121120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32519 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11222121120100 its reverse (102112122211), we get a palindrome (11324233242311).

The spelling of 11222121120100 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".