100111021202221 has 2 divisors, whose sum is σ = 100111021202222. Its totient is φ = 100111021202220.

The previous prime is 100111021202219. The next prime is 100111021202243. The reversal of 100111021202221 is 122202120111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84151084092100 + 15959937110121 = 9173390^2 + 3994989^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111021202221 - 2¹ = 100111021202219 is a prime.

Together with 100111021202219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100111021202195 and 100111021202204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111021202251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055510601110 + 50055510601111.

It is an arithmetic number, because the mean of its divisors is an integer number (50055510601111).

Almost surely, 2^{100111021202221} is an apocalyptic number.

It is an amenable number.

100111021202221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111021202221 is an equidigital number, since it uses as much as digits as its factorization.

100111021202221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100111021202221 its reverse (122202120111001), we get a palindrome (222313141313222).

The spelling of 100111021202221 in words is "one hundred trillion, one hundred eleven billion, twenty-one million, two hundred two thousand, two hundred twenty-one".