2220100417 has 2 divisors, whose sum is σ = 2220100418. Its totient is φ = 2220100416.

The previous prime is 2220100373. The next prime is 2220100451. The reversal of 2220100417 is 7140010222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1939169296 + 280931121 = 44036^2 + 16761^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220100417 - 2¹⁹ = 2219576129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220100394 and 2220100403.

It is not a weakly prime, because it can be changed into another prime (2220109417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110050208 + 1110050209.

It is an arithmetic number, because the mean of its divisors is an integer number (1110050209).

Almost surely, 2^2220100417 is an apocalyptic number.

It is an amenable number.

2220100417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220100417 is an equidigital number, since it uses as much as digits as its factorization.

2220100417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 2220100417 is about 47117.9415615750. The cubic root of 2220100417 is about 1304.5404188020.

Adding to 2220100417 its reverse (7140010222), we get a palindrome (9360110639).

The spelling of 2220100417 in words is "two billion, two hundred twenty million, one hundred thousand, four hundred seventeen".