100002220177 has 2 divisors, whose sum is σ = 100002220178. Its totient is φ = 100002220176.

The previous prime is 100002220057. The next prime is 100002220207. The reversal of 100002220177 is 771022200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97966496016 + 2035724161 = 312996^2 + 45119^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002220177 - 2¹⁵ = 100002187409 is a prime.

It is a super-2 number, since 2×100002220177² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100002220477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001110088 + 50001110089.

It is an arithmetic number, because the mean of its divisors is an integer number (50001110089).

Almost surely, 2^100002220177 is an apocalyptic number.

It is an amenable number.

100002220177 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002220177 is an equidigital number, since it uses as much as digits as its factorization.

100002220177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 22.

Adding to 100002220177 its reverse (771022200001), we get a palindrome (871024420178).

The spelling of 100002220177 in words is "one hundred billion, two million, two hundred twenty thousand, one hundred seventy-seven".