101122211329 has 2 divisors, whose sum is σ = 101122211330. Its totient is φ = 101122211328.

The previous prime is 101122211299. The next prime is 101122211353. The reversal of 101122211329 is 923112221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90060010000 + 11062201329 = 300100^2 + 105177^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122211329 - 2²⁹ = 100585340417 is a prime.

It is not a weakly prime, because it can be changed into another prime (101122211629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561105664 + 50561105665.

It is an arithmetic number, because the mean of its divisors is an integer number (50561105665).

Almost surely, 2^101122211329 is an apocalyptic number.

It is an amenable number.

101122211329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122211329 is an equidigital number, since it uses as much as digits as its factorization.

101122211329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 101122211329 in words is "one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, three hundred twenty-nine".