102211222111001 has 2 divisors, whose sum is σ = 102211222111002. Its totient is φ = 102211222111000.

The previous prime is 102211222110919. The next prime is 102211222111079. The reversal of 102211222111001 is 100111222112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76510621291225 + 25700600819776 = 8747035^2 + 5069576^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211222111001 - 2¹⁴ = 102211222094617 is a prime.

It is not a weakly prime, because it can be changed into another prime (102211222111081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105611055500 + 51105611055501.

It is an arithmetic number, because the mean of its divisors is an integer number (51105611055501).

Almost surely, 2^{102211222111001} is an apocalyptic number.

It is an amenable number.

102211222111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211222111001 is an equidigital number, since it uses as much as digits as its factorization.

102211222111001 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 17.

Adding to 102211222111001 its reverse (100111222112201), we get a palindrome (202322444223202).

The spelling of 102211222111001 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, one".