201221331201029 has 2 divisors, whose sum is σ = 201221331201030. Its totient is φ = 201221331201028.

The previous prime is 201221331200957. The next prime is 201221331201097. The reversal of 201221331201029 is 920102133122102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201219615336100 + 1715864929 = 14185190^2 + 41423^2 .

It is a cyclic number.

It is not a de Polignac number, because 201221331201029 - 2¹² = 201221331196933 is a prime.

It is a super-2 number, since 2×201221331201029² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201221331200992 and 201221331201010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201221331201229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100610665600514 + 100610665600515.

It is an arithmetic number, because the mean of its divisors is an integer number (100610665600515).

Almost surely, 2^{201221331201029} is an apocalyptic number.

It is an amenable number.

201221331201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

201221331201029 is an equidigital number, since it uses as much as digits as its factorization.

201221331201029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 201221331201029 in words is "two hundred one trillion, two hundred twenty-one billion, three hundred thirty-one million, two hundred one thousand, twenty-nine".