201001222320029 has 2 divisors, whose sum is σ = 201001222320030. Its totient is φ = 201001222320028.

The previous prime is 201001222319987. The next prime is 201001222320071. The reversal of 201001222320029 is 920023222100102.

It is a balanced prime because it is at equal distance from previous prime (201001222319987) and next prime (201001222320071).

It can be written as a sum of positive squares in only one way, i.e., 179128511532100 + 21872710787929 = 13383890^2 + 4676827^2 .

It is a cyclic number.

It is not a de Polignac number, because 201001222320029 - 2¹⁶ = 201001222254493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201001222320529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500611160014 + 100500611160015.

It is an arithmetic number, because the mean of its divisors is an integer number (100500611160015).

Almost surely, 2^{201001222320029} is an apocalyptic number.

It is an amenable number.

201001222320029 is a deficient number, since it is larger than the sum of its proper divisors (1).

201001222320029 is an equidigital number, since it uses as much as digits as its factorization.

201001222320029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 201001222320029 in words is "two hundred one trillion, one billion, two hundred twenty-two million, three hundred twenty thousand, twenty-nine".