111002211122100 has 72 divisors (see below), whose sum is σ = 321167812902720. Its totient is φ = 29600459182080.

The previous prime is 111002211122071. The next prime is 111002211122137. The reversal of 111002211122100 is 1221112200111.

It is a happy number.

It is a super-2 number, since 2×111002211122100² (a number of 29 digits) contains 22 as substring.

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 111002211122100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81047796 + ... + 82406004.

Almost surely, 2^{111002211122100} is an apocalyptic number.

111002211122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111002211122100 is an abundant number, since it is smaller than the sum of its proper divisors (210165601780620).

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

111002211122100 is a wasteful number, since it uses less digits than its factorization.

111002211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630649 (or 1630642 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111002211122100 its reverse (1221112200111), we get a palindrome (112223323322211).

The spelling of 111002211122100 in words is "one hundred eleven trillion, two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".