100100002193 has 2 divisors, whose sum is σ = 100100002194. Its totient is φ = 100100002192.

The previous prime is 100100002181. The next prime is 100100002241. The reversal of 100100002193 is 391200001001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86440704064 + 13659298129 = 294008^2 + 116873^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100002193 - 2²⁶ = 100032893329 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100002693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050001096 + 50050001097.

It is an arithmetic number, because the mean of its divisors is an integer number (50050001097).

Almost surely, 2^100100002193 is an apocalyptic number.

It is an amenable number.

100100002193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100002193 is an equidigital number, since it uses as much as digits as its factorization.

100100002193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100100002193 its reverse (391200001001), we get a palindrome (491300003194).

The spelling of 100100002193 in words is "one hundred billion, one hundred million, two thousand, one hundred ninety-three".