100330020000 has 360 divisors, whose sum is σ = 407465394336. Its totient is φ = 22932288000.

The previous prime is 100330019981. The next prime is 100330020059. The reversal of 100330020000 is 20033001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×100330020000² (a number of 23 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 1220187 + ... + 1299813.

Almost surely, 2^100330020000 is an apocalyptic number.

100330020000 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 100330020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203732697168).

100330020000 is an abundant number, since it is smaller than the sum of its proper divisors (307135374336).

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

100330020000 is an equidigital number, since it uses as much as digits as its factorization.

100330020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79670 (or 79644 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 100330020000 its reverse (20033001), we get a palindrome (100350053001).

The spelling of 100330020000 in words is "one hundred billion, three hundred thirty million, twenty thousand".