100001001100221 has 12 divisors (see below), whose sum is σ = 155557112822748. Its totient is φ = 61539077600064.

The previous prime is 100001001100213. The next prime is 100001001100229. The reversal of 100001001100221 is 122001100100001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100001001100213) and next prime (100001001100229).

It can be written as a sum of positive squares in 2 ways, for example, as 57737415008196 + 42263586092025 = 7598514^2 + 6501045^2 .

It is not a de Polignac number, because 100001001100221 - 2³ = 100001001100213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001001100229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427354705440 + ... + 427354705673.

It is an arithmetic number, because the mean of its divisors is an integer number (12963092735229).

Almost surely, 2^{100001001100221} is an apocalyptic number.

It is an amenable number.

100001001100221 is a deficient number, since it is larger than the sum of its proper divisors (55556111722527).

100001001100221 is a wasteful number, since it uses less digits than its factorization.

100001001100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854709411132 (or 854709411129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001001100221 its reverse (122001100100001), we get a palindrome (222002101200222).

The spelling of 100001001100221 in words is "one hundred trillion, one billion, one million, one hundred thousand, two hundred twenty-one".