22100122022201 has 2 divisors, whose sum is σ = 22100122022202. Its totient is φ = 22100122022200.

The previous prime is 22100122022197. The next prime is 22100122022203. The reversal of 22100122022201 is 10222022100122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19072226214976 + 3027895807225 = 4367176^2 + 1740085^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100122022201 - 2² = 22100122022197 is a prime.

Together with 22100122022203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22100122022201.

It is not a weakly prime, because it can be changed into another prime (22100122022203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050061011100 + 11050061011101.

It is an arithmetic number, because the mean of its divisors is an integer number (11050061011101).

Almost surely, 2^{22100122022201} is an apocalyptic number.

It is an amenable number.

22100122022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100122022201 is an equidigital number, since it uses as much as digits as its factorization.

22100122022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22100122022201 its reverse (10222022100122), we get a palindrome (32322144122323).

The spelling of 22100122022201 in words is "twenty-two trillion, one hundred billion, one hundred twenty-two million, twenty-two thousand, two hundred one".