111102211012100 has 576 divisors, whose sum is σ = 305005478400000. Its totient is φ = 34124484556800.

The previous prime is 111102211012097. The next prime is 111102211012123. The reversal of 111102211012100 is 1210112201111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134019554486 + ... + 134019555314.

It is an arithmetic number, because the mean of its divisors is an integer number (529523400000).

Almost surely, 2^{111102211012100} is an apocalyptic number.

111102211012100 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 111102211012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152502739200000).

111102211012100 is an abundant number, since it is smaller than the sum of its proper divisors (193903267387900).

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

111102211012100 is a wasteful number, since it uses less digits than its factorization.

111102211012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1789 counting only the distinct ones).

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

Adding to 111102211012100 its reverse (1210112201111), we get a palindrome (112312323213211).

The spelling of 111102211012100 in words is "one hundred eleven trillion, one hundred two billion, two hundred eleven million, twelve thousand, one hundred".