111112002122100 has 144 divisors (see below), whose sum is σ = 367538973583488. Its totient is φ = 25388138280960.

The previous prime is 111112002122047. The next prime is 111112002122111. The reversal of 111112002122100 is 1221200211111.

It is a happy number.

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 111112002122100.

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 47 ways as a sum of consecutive naturals, for example, 3260097 + ... + 15259496.

Almost surely, 2^{111112002122100} is an apocalyptic number.

111112002122100 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 111112002122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183769486791744).

111112002122100 is an abundant number, since it is smaller than the sum of its proper divisors (256426971461388).

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

111112002122100 is a wasteful number, since it uses less digits than its factorization.

111112002122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18522474 (or 18522467 counting only the distinct ones).

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

Adding to 111112002122100 its reverse (1221200211111), we get a palindrome (112333202333211).

The spelling of 111112002122100 in words is "one hundred eleven trillion, one hundred twelve billion, two million, one hundred twenty-two thousand, one hundred".