101100221022221 has 8 divisors (see below), whose sum is σ = 101281795088760. Its totient is φ = 100918704291328.

The previous prime is 101100221022209. The next prime is 101100221022233. The reversal of 101100221022221 is 122220122001101.

It is an interprime number because it is at equal distance from previous prime (101100221022209) and next prime (101100221022233).

It can be written as a sum of positive squares in 4 ways, for example, as 298339902025 + 100801881120196 = 546205^2 + 10040014^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101100221022221 - 2²² = 101100216827917 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100221022221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100221024221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10803356 + ... + 17858133.

It is an arithmetic number, because the mean of its divisors is an integer number (12660224386095).

Almost surely, 2^{101100221022221} is an apocalyptic number.

It is an amenable number.

101100221022221 is a deficient number, since it is larger than the sum of its proper divisors (181574066539).

101100221022221 is an equidigital number, since it uses as much as digits as its factorization.

101100221022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28667823.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101100221022221 its reverse (122220122001101), we get a palindrome (223320343023322).

The spelling of 101100221022221 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, twenty-two thousand, two hundred twenty-one".