111100102120000 has 560 divisors, whose sum is σ = 321913430327808. Its totient is φ = 37238538240000.

The previous prime is 111100102119967. The next prime is 111100102120069. The reversal of 111100102120000 is 21201001111.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12857315680 + ... + 12857324320.

Almost surely, 2^{111100102120000} is an apocalyptic number.

111100102120000 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 111100102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160956715163904).

111100102120000 is an abundant number, since it is smaller than the sum of its proper divisors (210813328207808).

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

111100102120000 is an frugal number, since it uses more digits than its factorization.

111100102120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9704 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111100102120000 its reverse (21201001111), we get a palindrome (111121303121111).

The spelling of 111100102120000 in words is "one hundred eleven trillion, one hundred billion, one hundred two million, one hundred twenty thousand".