100201993 has 2 divisors, whose sum is σ = 100201994. Its totient is φ = 100201992.

The previous prime is 100201963. The next prime is 100202009. The reversal of 100201993 is 399102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86341264 + 13860729 = 9292^2 + 3723^2 .

It is an emirp because it is prime and its reverse (399102001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100201943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100996 + 50100997.

It is an arithmetic number, because the mean of its divisors is an integer number (50100997).

Almost surely, 2^100201993 is an apocalyptic number.

It is an amenable number.

100201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201993 is an equidigital number, since it uses as much as digits as its factorization.

100201993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 100201993 is about 10010.0945549980. The cubic root of 100201993 is about 464.4711959901.

Adding to 100201993 its reverse (399102001), we get a palindrome (499303994).

The spelling of 100201993 in words is "one hundred million, two hundred one thousand, nine hundred ninety-three".