100201021002205 has 4 divisors (see below), whose sum is σ = 120241225202652. Its totient is φ = 80160816801760.

The previous prime is 100201021002179. The next prime is 100201021002241. The reversal of 100201021002205 is 502200120102001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 36075087112516 + 64125933889689 = 6006254^2 + 8007867^2 .

It is not a de Polignac number, because 100201021002205 - 2¹³ = 100201020994013 is a prime.

It is a super-2 number, since 2×100201021002205² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10020102100216 + ... + 10020102100225.

It is an arithmetic number, because the mean of its divisors is an integer number (30060306300663).

Almost surely, 2^{100201021002205} is an apocalyptic number.

It is an amenable number.

100201021002205 is a deficient number, since it is larger than the sum of its proper divisors (20040204200447).

100201021002205 is an equidigital number, since it uses as much as digits as its factorization.

100201021002205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20040204200446.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 100201021002205 its reverse (502200120102001), we get a palindrome (602401141104206).

The spelling of 100201021002205 in words is "one hundred trillion, two hundred one billion, twenty-one million, two thousand, two hundred five".