100112200022221 has 2 divisors, whose sum is σ = 100112200022222. Its totient is φ = 100112200022220.

The previous prime is 100112200022207. The next prime is 100112200022243. The reversal of 100112200022221 is 122220002211001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89510729142121 + 10601470880100 = 9461011^2 + 3255990^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112200022221 - 2¹⁵ = 100112199989453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112200022195 and 100112200022204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112200022281) 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 as a sum of consecutive naturals, namely, 50056100011110 + 50056100011111.

It is an arithmetic number, because the mean of its divisors is an integer number (50056100011111).

Almost surely, 2^{100112200022221} is an apocalyptic number.

It is an amenable number.

100112200022221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112200022221 is an equidigital number, since it uses as much as digits as its factorization.

100112200022221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100112200022221 its reverse (122220002211001), we get a palindrome (222332202233222).

The spelling of 100112200022221 in words is "one hundred trillion, one hundred twelve billion, two hundred million, twenty-two thousand, two hundred twenty-one".