11021011120112 has 240 divisors, whose sum is σ = 26234484456960. Its totient is φ = 4459720978944.

The previous prime is 11021011120109. The next prime is 11021011120123. The reversal of 11021011120112 is 21102111012011.

It is a super-2 number, since 2×11021011120112² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10879576118 + ... + 10879577130.

It is an arithmetic number, because the mean of its divisors is an integer number (109310351904).

Almost surely, 2^{11021011120112} 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 11021011120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117242228480).

11021011120112 is an abundant number, since it is smaller than the sum of its proper divisors (15213473336848).

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

11021011120112 is a wasteful number, since it uses less digits than its factorization.

11021011120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2767 counting only the distinct ones).

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

Adding to 11021011120112 its reverse (21102111012011), we get a palindrome (32123122132123).

The spelling of 11021011120112 in words is "eleven trillion, twenty-one billion, eleven million, one hundred twenty thousand, one hundred twelve".