11000101122112 has 112 divisors (see below), whose sum is σ = 22258500364800. Its totient is φ = 5392271093760.

The previous prime is 11000101122019. The next prime is 11000101122133. The reversal of 11000101122112 is 21122110100011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11000101122092 and 11000101122101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2910847839 + ... + 2910851617.

It is an arithmetic number, because the mean of its divisors is an integer number (198736610400).

Almost surely, 2^{11000101122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000101122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11129250182400).

11000101122112 is an abundant number, since it is smaller than the sum of its proper divisors (11258399242688).

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

11000101122112 is a wasteful number, since it uses less digits than its factorization.

11000101122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11000101122112 its reverse (21122110100011), we get a palindrome (32122211222123).

The spelling of 11000101122112 in words is "eleven trillion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".