100002120193 has 2 divisors, whose sum is σ = 100002120194. Its totient is φ = 100002120192.

The previous prime is 100002120173. The next prime is 100002120241. The reversal of 100002120193 is 391021200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98908363009 + 1093757184 = 314497^2 + 33072^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002120193 - 2¹⁷ = 100001989121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100002120193.

It is not a weakly prime, because it can be changed into another prime (100002120173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001060096 + 50001060097.

It is an arithmetic number, because the mean of its divisors is an integer number (50001060097).

Almost surely, 2^100002120193 is an apocalyptic number.

It is an amenable number.

100002120193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002120193 is an equidigital number, since it uses as much as digits as its factorization.

100002120193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 100002120193 its reverse (391021200001), we get a palindrome (491023320194).

The spelling of 100002120193 in words is "one hundred billion, two million, one hundred twenty thousand, one hundred ninety-three".