100202201430320 has 320 divisors, whose sum is σ = 289289184307200. Its totient is φ = 31797607956480.

The previous prime is 100202201430229. The next prime is 100202201430389. The reversal of 100202201430320 is 23034102202001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100202201430292 and 100202201430301.

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, 9608996 + ... + 17109564.

It is an arithmetic number, because the mean of its divisors is an integer number (904028700960).

Almost surely, 2^{100202201430320} is an apocalyptic number.

100202201430320 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 100202201430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144644592153600).

100202201430320 is an abundant number, since it is smaller than the sum of its proper divisors (189086982876880).

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

100202201430320 is a wasteful number, since it uses less digits than its factorization.

100202201430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500676 (or 7500670 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100202201430320 its reverse (23034102202001), we get a palindrome (123236303632321).

The spelling of 100202201430320 in words is "one hundred trillion, two hundred two billion, two hundred one million, four hundred thirty thousand, three hundred twenty".