111220211312100 has 648 divisors, whose sum is σ = 405834730164864. Its totient is φ = 25369724160000.

The previous prime is 111220211312017. The next prime is 111220211312101. The reversal of 111220211312100 is 1213112022111.

It is a happy number.

111220211312100 is a `hidden beast` number, since 1 + 11 + 220 + 21 + 1 + 312 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111220211312101) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11387341417 + ... + 11387351183.

Almost surely, 2^{111220211312100} is an apocalyptic number.

111220211312100 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 111220211312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202917365082432).

111220211312100 is an abundant number, since it is smaller than the sum of its proper divisors (294614518852764).

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

111220211312100 is a wasteful number, since it uses less digits than its factorization.

111220211312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15977 (or 15956 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 111220211312100 its reverse (1213112022111), we get a palindrome (112433323334211).

The spelling of 111220211312100 in words is "one hundred eleven trillion, two hundred twenty billion, two hundred eleven million, three hundred twelve thousand, one hundred".