11101121000112 has 160 divisors (see below), whose sum is σ = 34194373920000. Its totient is φ = 3058862146560.

The previous prime is 11101121000111. The next prime is 11101121000171. The reversal of 11101121000112 is 21100012110111.

11101121000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11101121000112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11101121000111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11609487 + ... + 12529262.

It is an arithmetic number, because the mean of its divisors is an integer number (213714837000).

Almost surely, 2^{11101121000112} is an apocalyptic number.

11101121000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11101121000112 is an abundant number, since it is smaller than the sum of its proper divisors (23093252919888).

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

11101121000112 is a wasteful number, since it uses less digits than its factorization.

11101121000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24138851 (or 24138845 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11101121000112 its reverse (21100012110111), we get a palindrome (32201133110223).

The spelling of 11101121000112 in words is "eleven trillion, one hundred one billion, one hundred twenty-one million, one hundred twelve", and thus it is an aban number.