11111102121112 has 128 divisors (see below), whose sum is σ = 24215477990400. Its totient is φ = 4681119744000.

The previous prime is 11111102121061. The next prime is 11111102121113. The reversal of 11111102121112 is 21112120111111.

It is a super-2 number, since 2×11111102121112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111102121113) 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, 2377721208 + ... + 2377725880.

It is an arithmetic number, because the mean of its divisors is an integer number (189183421800).

Almost surely, 2^{11111102121112} 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 11111102121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12107738995200).

11111102121112 is an abundant number, since it is smaller than the sum of its proper divisors (13104375869288).

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

11111102121112 is a wasteful number, since it uses less digits than its factorization.

11111102121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 11111102121112 its reverse (21112120111111), we get a palindrome (32223222232223).

The spelling of 11111102121112 in words is "eleven trillion, one hundred eleven billion, one hundred two million, one hundred twenty-one thousand, one hundred twelve".