100205325201 has 4 divisors (see below), whose sum is σ = 133607100272. Its totient is φ = 66803550132.

The previous prime is 100205325191. The next prime is 100205325211. The reversal of 100205325201 is 102523502001.

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, and also an emirpimes, since its reverse is a distinct semiprime: 102523502001 = 3 ⋅34174500667.

It is an interprime number because it is at equal distance from previous prime (100205325191) and next prime (100205325211).

It is not a de Polignac number, because 100205325201 - 2²⁶ = 100138216337 is a prime.

It is a super-2 number, since 2×100205325201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100205325211) 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, 16700887531 + ... + 16700887536.

It is an arithmetic number, because the mean of its divisors is an integer number (33401775068).

Almost surely, 2^100205325201 is an apocalyptic number.

It is an amenable number.

100205325201 is a deficient number, since it is larger than the sum of its proper divisors (33401775071).

100205325201 is an equidigital number, since it uses as much as digits as its factorization.

100205325201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33401775070.

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 100205325201 its reverse (102523502001), we get a palindrome (202728827202).

The spelling of 100205325201 in words is "one hundred billion, two hundred five million, three hundred twenty-five thousand, two hundred one".