100013032201000 has 192 divisors, whose sum is σ = 241326113305680. Its totient is φ = 38788331673600.

The previous prime is 100013032200989. The next prime is 100013032201111. The reversal of 100013032201000 is 102230310001.

It can be written as a sum of positive squares in 8 ways, for example, as 6362935620196 + 93650096580804 = 2522486^2 + 9677298^2 .

It is a super-2 number, since 2×100013032201000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253916212 + ... + 254309788.

Almost surely, 2^{100013032201000} is an apocalyptic number.

100013032201000 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 100013032201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120663056652840).

100013032201000 is an abundant number, since it is smaller than the sum of its proper divisors (141313081104680).

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

100013032201000 is an equidigital number, since it uses as much as digits as its factorization.

100013032201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393789 (or 393716 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100013032201000 its reverse (102230310001), we get a palindrome (100115262511001).

The spelling of 100013032201000 in words is "one hundred trillion, thirteen billion, thirty-two million, two hundred one thousand".