1022223210101 has 2 divisors, whose sum is σ = 1022223210102. Its totient is φ = 1022223210100.

The previous prime is 1022223210067. The next prime is 1022223210103. The reversal of 1022223210101 is 1010123222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 791078609476 + 231144600625 = 889426^2 + 480775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1022223210101 is a prime.

Together with 1022223210103, 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 1022223210101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022223210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511111605050 + 511111605051.

It is an arithmetic number, because the mean of its divisors is an integer number (511111605051).

Almost surely, 2^{1022223210101} is an apocalyptic number.

It is an amenable number.

1022223210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022223210101 is an equidigital number, since it uses as much as digits as its factorization.

1022223210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1022223210101 its reverse (1010123222201), we get a palindrome (2032346432302).

The spelling of 1022223210101 in words is "one trillion, twenty-two billion, two hundred twenty-three million, two hundred ten thousand, one hundred one".