100201003122320 has 80 divisors (see below), whose sum is σ = 234377258739120. Its totient is φ = 39837958428672.

The previous prime is 100201003122313. The next prime is 100201003122329. The reversal of 100201003122320 is 23221300102001.

It can be written as a sum of positive squares in 8 ways, for example, as 5290386407056 + 94910616715264 = 2300084^2 + 9742208^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100201003122329) 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, 50356562 + ... + 52308558.

It is an arithmetic number, because the mean of its divisors is an integer number (2929715734239).

Almost surely, 2^{100201003122320} is an apocalyptic number.

100201003122320 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 100201003122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117188629369560).

100201003122320 is an abundant number, since it is smaller than the sum of its proper divisors (134176255616800).

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

100201003122320 is a wasteful number, since it uses less digits than its factorization.

100201003122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955892 (or 1955886 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100201003122320 its reverse (23221300102001), we get a palindrome (123422303224321).

The spelling of 100201003122320 in words is "one hundred trillion, two hundred one billion, three million, one hundred twenty-two thousand, three hundred twenty".