111222102012100 has 72 divisors (see below), whose sum is σ = 241442672070600. Its totient is φ = 44472122956800.

The previous prime is 111222102012067. The next prime is 111222102012139. The reversal of 111222102012100 is 1210201222111.

It can be written as a sum of positive squares in 12 ways, for example, as 38580197999616 + 72641904012484 = 6211296^2 + 8523022^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6531326386 + ... + 6531343414.

It is an arithmetic number, because the mean of its divisors is an integer number (3353370445425).

Almost surely, 2^{111222102012100} is an apocalyptic number.

111222102012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111222102012100 is an abundant number, since it is smaller than the sum of its proper divisors (130220570058500).

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

111222102012100 is a wasteful number, since it uses less digits than its factorization.

111222102012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37753 (or 37746 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111222102012100 its reverse (1210201222111), we get a palindrome (112432303234211).

The spelling of 111222102012100 in words is "one hundred eleven trillion, two hundred twenty-two billion, one hundred two million, twelve thousand, one hundred".