100202102417 has 2 divisors, whose sum is σ = 100202102418. Its totient is φ = 100202102416.

The previous prime is 100202102333. The next prime is 100202102431. The reversal of 100202102417 is 714201202001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93123235921 + 7078866496 = 305161^2 + 84136^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202102417 - 2¹⁶ = 100202036881 is a prime.

It is a super-2 number, since 2×100202102417² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100202102467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101051208 + 50101051209.

It is an arithmetic number, because the mean of its divisors is an integer number (50101051209).

Almost surely, 2^100202102417 is an apocalyptic number.

It is an amenable number.

100202102417 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202102417 is an equidigital number, since it uses as much as digits as its factorization.

100202102417 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 20.

Adding to 100202102417 its reverse (714201202001), we get a palindrome (814403304418).

The spelling of 100202102417 in words is "one hundred billion, two hundred two million, one hundred two thousand, four hundred seventeen".