10220211001001 has 2 divisors, whose sum is σ = 10220211001002. Its totient is φ = 10220211001000.

The previous prime is 10220211000991. The next prime is 10220211001003. The reversal of 10220211001001 is 10010011202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6274223425600 + 3945987575401 = 2504840^2 + 1986451^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220211001001 - 2²² = 10220206806697 is a prime.

Together with 10220211001003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10220211001003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110105500500 + 5110105500501.

It is an arithmetic number, because the mean of its divisors is an integer number (5110105500501).

Almost surely, 2^{10220211001001} is an apocalyptic number.

It is an amenable number.

10220211001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220211001001 is an equidigital number, since it uses as much as digits as its factorization.

10220211001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10220211001001 its reverse (10010011202201), we get a palindrome (20230222203202).

The spelling of 10220211001001 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, one thousand, one".