11122211112100 has 108 divisors (see below), whose sum is σ = 26791435527444. Its totient is φ = 4004396000000.

The previous prime is 11122211112097. The next prime is 11122211112107. The reversal of 11122211112100 is 121111222111.

It can be written as a sum of positive squares in 6 ways, for example, as 1771385312356 + 9350825799744 = 1330934^2 + 3057912^2 .

It is not an unprimeable number, because it can be changed into a prime (11122211112107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3328351 + ... + 5772550.

Almost surely, 2^{11122211112100} is an apocalyptic number.

11122211112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122211112100 is an abundant number, since it is smaller than the sum of its proper divisors (15669224415344).

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

11122211112100 is a wasteful number, since it uses less digits than its factorization.

11122211112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101038 (or 9101020 counting only the distinct ones).

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

Adding to 11122211112100 its reverse (121111222111), we get a palindrome (11243322334211).

The spelling of 11122211112100 in words is "eleven trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twelve thousand, one hundred".