100200000111120 has 480 divisors, whose sum is σ = 414246345537024. Its totient is φ = 21136691404800.

The previous prime is 100200000111109. The next prime is 100200000111179. The reversal of 100200000111120 is 21111000002001.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318990940 + ... + 319304900.

Almost surely, 2^{100200000111120} is an apocalyptic number.

100200000111120 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 100200000111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207123172768512).

100200000111120 is an abundant number, since it is smaller than the sum of its proper divisors (314046345425904).

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

100200000111120 is a wasteful number, since it uses less digits than its factorization.

100200000111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318871 (or 318862 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100200000111120 its reverse (21111000002001), we get a palindrome (121311000113121).

The spelling of 100200000111120 in words is "one hundred trillion, two hundred billion, one hundred eleven thousand, one hundred twenty".