100033020120 has 128 divisors (see below), whose sum is σ = 327800183040. Its totient is φ = 24219363840.

The previous prime is 100033020071. The next prime is 100033020133. The reversal of 100033020120 is 21020330001.

It is a happy number.

It is a super-2 number, since 2×100033020120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100033020096 and 100033020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990694 + ... + 1086986.

It is an arithmetic number, because the mean of its divisors is an integer number (2560938930).

Almost surely, 2^100033020120 is an apocalyptic number.

100033020120 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 100033020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163900091520).

100033020120 is an abundant number, since it is smaller than the sum of its proper divisors (227767162920).

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

100033020120 is a wasteful number, since it uses less digits than its factorization.

100033020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97105 (or 97101 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100033020120 its reverse (21020330001), we get a palindrome (121053350121).

The spelling of 100033020120 in words is "one hundred billion, thirty-three million, twenty thousand, one hundred twenty".