100033113111120 has 480 divisors, whose sum is σ = 400810925458944. Its totient is φ = 21860690227200.

The previous prime is 100033113111079. The next prime is 100033113111149. The reversal of 100033113111120 is 21111311330001.

100033113111120 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 331 + 1 + 311 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100033113111093 and 100033113111102.

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 95 ways as a sum of consecutive naturals, for example, 257264050 + ... + 257652590.

Almost surely, 2^{100033113111120} is an apocalyptic number.

100033113111120 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 100033113111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200405462729472).

100033113111120 is an abundant number, since it is smaller than the sum of its proper divisors (300777812347824).

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

100033113111120 is a wasteful number, since it uses less digits than its factorization.

100033113111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390811 (or 390802 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 100033113111120 its reverse (21111311330001), we get a palindrome (121144424441121).

The spelling of 100033113111120 in words is "one hundred trillion, thirty-three billion, one hundred thirteen million, one hundred eleven thousand, one hundred twenty".