11122011112100 has 144 divisors (see below), whose sum is σ = 29652055480320. Its totient is φ = 3535699766400.

The previous prime is 11122011112067. The next prime is 11122011112111. The reversal of 11122011112100 is 121111022111.

It is a super-3 number, since 3×11122011112100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 8271086 + ... + 9521285.

Almost surely, 2^{11122011112100} is an apocalyptic number.

11122011112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122011112100 is an abundant number, since it is smaller than the sum of its proper divisors (18530044368220).

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

11122011112100 is a wasteful number, since it uses less digits than its factorization.

11122011112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17792458 (or 17792451 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11122011112100 its reverse (121111022111), we get a palindrome (11243122134211).

The spelling of 11122011112100 in words is "eleven trillion, one hundred twenty-two billion, eleven million, one hundred twelve thousand, one hundred".