414101133221 has 2 divisors, whose sum is σ = 414101133222. Its totient is φ = 414101133220.

The previous prime is 414101133197. The next prime is 414101133293. The reversal of 414101133221 is 122331101414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 410227440100 + 3873693121 = 640490^2 + 62239^2 .

It is a cyclic number.

It is not a de Polignac number, because 414101133221 - 2¹⁰ = 414101132197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414101133521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207050566610 + 207050566611.

It is an arithmetic number, because the mean of its divisors is an integer number (207050566611).

Almost surely, 2^414101133221 is an apocalyptic number.

It is an amenable number.

414101133221 is a deficient number, since it is larger than the sum of its proper divisors (1).

414101133221 is an equidigital number, since it uses as much as digits as its factorization.

414101133221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 414101133221 its reverse (122331101414), we get a palindrome (536432234635).

The spelling of 414101133221 in words is "four hundred fourteen billion, one hundred one million, one hundred thirty-three thousand, two hundred twenty-one".