111110010002100 has 216 divisors, whose sum is σ = 378720855735768. Its totient is φ = 27132746342400.

The previous prime is 111110010002099. The next prime is 111110010002171. The reversal of 111110010002100 is 1200010011111.

It can be written as a sum of positive squares in 12 ways, for example, as 17305283841444 + 93804726160656 = 4159962^2 + 9685284^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 97570281 + ... + 98702480.

It is an arithmetic number, because the mean of its divisors is an integer number (1753337295073).

Almost surely, 2^{111110010002100} is an apocalyptic number.

111110010002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111110010002100 is an abundant number, since it is smaller than the sum of its proper divisors (267610845733668).

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

111110010002100 is a wasteful number, since it uses less digits than its factorization.

111110010002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196272835 (or 196272825 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111110010002100 its reverse (1200010011111), we get a palindrome (112310020013211).

The spelling of 111110010002100 in words is "one hundred eleven trillion, one hundred ten billion, ten million, two thousand, one hundred".