101221244129 has 2 divisors, whose sum is σ = 101221244130. Its totient is φ = 101221244128.

The previous prime is 101221244123. The next prime is 101221244149. The reversal of 101221244129 is 921442122101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51838182400 + 49383061729 = 227680^2 + 222223^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221244129 - 2⁸ = 101221243873 is a prime.

It is not a weakly prime, because it can be changed into another prime (101221244123) 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, 50610622064 + 50610622065.

It is an arithmetic number, because the mean of its divisors is an integer number (50610622065).

Almost surely, 2^101221244129 is an apocalyptic number.

It is an amenable number.

101221244129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221244129 is an equidigital number, since it uses as much as digits as its factorization.

101221244129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 101221244129 in words is "one hundred one billion, two hundred twenty-one million, two hundred forty-four thousand, one hundred twenty-nine".