100201320000 has 280 divisors, whose sum is σ = 368102794400. Its totient is φ = 26720064000.

The previous prime is 100201319983. The next prime is 100201320001. The reversal of 100201320000 is 23102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100201320001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1033611 + ... + 1126389.

Almost surely, 2^100201320000 is an apocalyptic number.

100201320000 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 100201320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184051397200).

100201320000 is an abundant number, since it is smaller than the sum of its proper divisors (267901474400).

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

100201320000 is an frugal number, since it uses more digits than its factorization.

100201320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92820 (or 92789 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100201320000 its reverse (23102001), we get a palindrome (100224422001).

The spelling of 100201320000 in words is "one hundred billion, two hundred one million, three hundred twenty thousand".