100013032201001 has 4 divisors (see below), whose sum is σ = 100013911295232. Its totient is φ = 100012153106772.

The previous prime is 100013032200989. The next prime is 100013032201111. The reversal of 100013032201001 is 100102230310001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100013032201001 - 2⁶ = 100013032200937 is a prime.

It is a super-3 number, since 3×100013032201001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013032201601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 439376441 + ... + 439604006.

It is an arithmetic number, because the mean of its divisors is an integer number (25003477823808).

Almost surely, 2^{100013032201001} is an apocalyptic number.

It is an amenable number.

100013032201001 is a deficient number, since it is larger than the sum of its proper divisors (879094231).

100013032201001 is an equidigital number, since it uses as much as digits as its factorization.

100013032201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879094230.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100013032201001 its reverse (100102230310001), we get a palindrome (200115262511002).

The spelling of 100013032201001 in words is "one hundred trillion, thirteen billion, thirty-two million, two hundred one thousand, one".