11122100010112 has 128 divisors (see below), whose sum is σ = 27422888169600. Its totient is φ = 4375370096640.

The previous prime is 11122100010023. The next prime is 11122100010113. The reversal of 11122100010112 is 21101000122111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11122100010112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11122100010092 and 11122100010101.

It is not an unprimeable number, because it can be changed into a prime (11122100010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582189 + ... + 4752172.

It is an arithmetic number, because the mean of its divisors is an integer number (214241313825).

Almost surely, 2^{11122100010112} is an apocalyptic number.

It is an amenable number.

11122100010112 is an abundant number, since it is smaller than the sum of its proper divisors (16300788159488).

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

11122100010112 is a wasteful number, since it uses less digits than its factorization.

11122100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334574 (or 5334562 counting only the distinct ones).

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

Adding to 11122100010112 its reverse (21101000122111), we get a palindrome (32223100132223).

The spelling of 11122100010112 in words is "eleven trillion, one hundred twenty-two billion, one hundred million, ten thousand, one hundred twelve".