111131002211100 has 288 divisors, whose sum is σ = 333609223643136. Its totient is φ = 28539345024000.

The previous prime is 111131002211041. The next prime is 111131002211101. The reversal of 111131002211100 is 1112200131111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111131002211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111131002211101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1367002054 + ... + 1367083346.

It is an arithmetic number, because the mean of its divisors is an integer number (1158365359872).

Almost surely, 2^{111131002211100} is an apocalyptic number.

111131002211100 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 111131002211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166804611821568).

111131002211100 is an abundant number, since it is smaller than the sum of its proper divisors (222478221432036).

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

111131002211100 is a wasteful number, since it uses less digits than its factorization.

111131002211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82605 (or 82598 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 111131002211100 its reverse (1112200131111), we get a palindrome (112243202342211).

The spelling of 111131002211100 in words is "one hundred eleven trillion, one hundred thirty-one billion, two million, two hundred eleven thousand, one hundred".