100113001 has 2 divisors, whose sum is σ = 100113002. Its totient is φ = 100113000.

The previous prime is 100112963. The next prime is 100113011. The reversal of 100113001 is 100311001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97219600 + 2893401 = 9860^2 + 1701^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113001 - 2⁹ = 100112489 is a prime.

It is a super-2 number, since 2×100113001² = 20045225938452002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100113011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056500 + 50056501.

It is an arithmetic number, because the mean of its divisors is an integer number (50056501).

Almost surely, 2^100113001 is an apocalyptic number.

It is an amenable number.

100113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113001 is an equidigital number, since it uses as much as digits as its factorization.

100113001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 100113001 is about 10005.6484547479. The cubic root of 100113001 is about 464.3336522742. Note that the first 3 decimals are identical.

Adding to 100113001 its reverse (100311001), we get a palindrome (200424002).

The spelling of 100113001 in words is "one hundred million, one hundred thirteen thousand, one".