100122202212221 has 6 divisors (see below), whose sum is σ = 116468684206110. Its totient is φ = 85819030467576.

The previous prime is 100122202212203. The next prime is 100122202212233. The reversal of 100122202212221 is 122212202221001.

It can be written as a sum of positive squares in only one way, i.e., 78298252876900 + 21823949335321 = 8848630^2 + 4671611^2 .

It is not a de Polignac number, because 100122202212221 - 2¹⁴ = 100122202195837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122202212193 and 100122202212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122202112221) 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 5 ways as a sum of consecutive naturals, for example, 1021655124566 + ... + 1021655124663.

It is an arithmetic number, because the mean of its divisors is an integer number (19411447367685).

Almost surely, 2^{100122202212221} is an apocalyptic number.

It is an amenable number.

100122202212221 is a deficient number, since it is larger than the sum of its proper divisors (16346481993889).

100122202212221 is an equidigital number, since it uses as much as digits as its factorization.

100122202212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043310249243 (or 2043310249236 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100122202212221 its reverse (122212202221001), we get a palindrome (222334404433222).

The spelling of 100122202212221 in words is "one hundred trillion, one hundred twenty-two billion, two hundred two million, two hundred twelve thousand, two hundred twenty-one".