100330102000 has 80 divisors (see below), whose sum is σ = 243223718400. Its totient is φ = 40028563200.

The previous prime is 100330101983. The next prime is 100330102009. The reversal of 100330102000 is 201033001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100330102000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330102009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713521 + ... + 842479.

It is an arithmetic number, because the mean of its divisors is an integer number (3040296480).

Almost surely, 2^100330102000 is an apocalyptic number.

100330102000 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 100330102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121611859200).

100330102000 is an abundant number, since it is smaller than the sum of its proper divisors (142893616400).

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

100330102000 is a wasteful number, since it uses less digits than its factorization.

100330102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129371 (or 129355 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100330102000 its reverse (201033001), we get a palindrome (100531135001).

The spelling of 100330102000 in words is "one hundred billion, three hundred thirty million, one hundred two thousand".