100332102000 has 320 divisors, whose sum is σ = 351578747520. Its totient is φ = 24468480000.

The previous prime is 100332101981. The next prime is 100332102011. The reversal of 100332102000 is 201233001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8496100 + ... + 8507900.

It is an arithmetic number, because the mean of its divisors is an integer number (1098683586).

Almost surely, 2^100332102000 is an apocalyptic number.

100332102000 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 100332102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175789373760).

100332102000 is an abundant number, since it is smaller than the sum of its proper divisors (251246645520).

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

100332102000 is a wasteful number, since it uses less digits than its factorization.

100332102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11949 (or 11933 counting only the distinct ones).

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

Adding to 100332102000 its reverse (201233001), we get a palindrome (100533335001).

The spelling of 100332102000 in words is "one hundred billion, three hundred thirty-two million, one hundred two thousand".