11000121101112 has 128 divisors (see below), whose sum is σ = 33422118912000. Its totient is φ = 2970854960640.

The previous prime is 11000121101107. The next prime is 11000121101129. The reversal of 11000121101112 is 21110112100011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55161912 + ... + 55360967.

It is an arithmetic number, because the mean of its divisors is an integer number (261110304000).

Almost surely, 2^{11000121101112} is an apocalyptic number.

11000121101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000121101112 is an abundant number, since it is smaller than the sum of its proper divisors (22421997810888).

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

11000121101112 is a wasteful number, since it uses less digits than its factorization.

11000121101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110522941 (or 110522937 counting only the distinct ones).

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

Adding to 11000121101112 its reverse (21110112100011), we get a palindrome (32110233201123).

The spelling of 11000121101112 in words is "eleven trillion, one hundred twenty-one million, one hundred one thousand, one hundred twelve".