101223033213221 has 2 divisors, whose sum is σ = 101223033213222. Its totient is φ = 101223033213220.

The previous prime is 101223033213139. The next prime is 101223033213287. The reversal of 101223033213221 is 122312330322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70515487022500 + 30707546190721 = 8397350^2 + 5541439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101223033213221 is a prime.

It is a super-2 number, since 2×101223033213221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101223033213821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611516606610 + 50611516606611.

It is an arithmetic number, because the mean of its divisors is an integer number (50611516606611).

Almost surely, 2^{101223033213221} is an apocalyptic number.

It is an amenable number.

101223033213221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101223033213221 is an equidigital number, since it uses as much as digits as its factorization.

101223033213221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 101223033213221 its reverse (122312330322101), we get a palindrome (223535363535322).

The spelling of 101223033213221 in words is "one hundred one trillion, two hundred twenty-three billion, thirty-three million, two hundred thirteen thousand, two hundred twenty-one".