414222101 has 2 divisors, whose sum is σ = 414222102. Its totient is φ = 414222100.

The previous prime is 414222091. The next prime is 414222163. The reversal of 414222101 is 101222414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 383141476 + 31080625 = 19574^2 + 5575^2 .

It is a cyclic number.

It is not a de Polignac number, because 414222101 - 2¹⁴ = 414205717 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 414222101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414222181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207111050 + 207111051.

It is an arithmetic number, because the mean of its divisors is an integer number (207111051).

Almost surely, 2^414222101 is an apocalyptic number.

It is an amenable number.

414222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

414222101 is an equidigital number, since it uses as much as digits as its factorization.

414222101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 414222101 is about 20352.4470518903. The cubic root of 414222101 is about 745.4372467418.

Adding to 414222101 its reverse (101222414), we get a palindrome (515444515).

The spelling of 414222101 in words is "four hundred fourteen million, two hundred twenty-two thousand, one hundred one".