101122322221 has 2 divisors, whose sum is σ = 101122322222. Its totient is φ = 101122322220.

The previous prime is 101122322159. The next prime is 101122322251. The reversal of 101122322221 is 122223221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81273457225 + 19848864996 = 285085^2 + 140886^2 .

It is an emirp because it is prime and its reverse (122223221101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122322221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122322251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561161110 + 50561161111.

It is an arithmetic number, because the mean of its divisors is an integer number (50561161111).

Almost surely, 2^101122322221 is an apocalyptic number.

It is an amenable number.

101122322221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122322221 is an equidigital number, since it uses as much as digits as its factorization.

101122322221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101122322221 its reverse (122223221101), we get a palindrome (223345543322).

The spelling of 101122322221 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty-two thousand, two hundred twenty-one".