100001102220221 has 2 divisors, whose sum is σ = 100001102220222. Its totient is φ = 100001102220220.

The previous prime is 100001102220157. The next prime is 100001102220223. The reversal of 100001102220221 is 122022201100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57229436820196 + 42771665400025 = 7565014^2 + 6540005^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001102220221 - 2⁶ = 100001102220157 is a prime.

It is a Sophie Germain prime.

Together with 100001102220223, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100001102220196 and 100001102220205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001102220223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000551110110 + 50000551110111.

It is an arithmetic number, because the mean of its divisors is an integer number (50000551110111).

Almost surely, 2^{100001102220221} is an apocalyptic number.

It is an amenable number.

100001102220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001102220221 is an equidigital number, since it uses as much as digits as its factorization.

100001102220221 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 14.

Adding to 100001102220221 its reverse (122022201100001), we get a palindrome (222023303320222).

The spelling of 100001102220221 in words is "one hundred trillion, one billion, one hundred two million, two hundred twenty thousand, two hundred twenty-one".