111002122211120 has 240 divisors, whose sum is σ = 318915500824800. Its totient is φ = 35724043837440.

The previous prime is 111002122211119. The next prime is 111002122211153. The reversal of 111002122211120 is 21112221200111.

It is a super-2 number, since 2×111002122211120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1281800 + ... + 14954840.

It is an arithmetic number, because the mean of its divisors is an integer number (1328814586770).

Almost surely, 2^{111002122211120} is an apocalyptic number.

111002122211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111002122211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159457750412400).

111002122211120 is an abundant number, since it is smaller than the sum of its proper divisors (207913378613680).

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

111002122211120 is a wasteful number, since it uses less digits than its factorization.

111002122211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13673196 (or 13673183 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 111002122211120 its reverse (21112221200111), we get a palindrome (132114343411231).

The spelling of 111002122211120 in words is "one hundred eleven trillion, two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".