100000100633 has 2 divisors, whose sum is σ = 100000100634. Its totient is φ = 100000100632.

The previous prime is 100000100617. The next prime is 100000100647. The reversal of 100000100633 is 336001000001.

It is an a-pointer prime, because the next prime (100000100647) can be obtained adding 100000100633 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58889699584 + 41110401049 = 242672^2 + 202757^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000100633 - 2⁴ = 100000100617 is a prime.

It is a super-2 number, since 2×100000100633² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100000100033) 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, 50000050316 + 50000050317.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050317).

Almost surely, 2^100000100633 is an apocalyptic number.

It is an amenable number.

100000100633 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000100633 is an equidigital number, since it uses as much as digits as its factorization.

100000100633 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 14.

Adding to 100000100633 its reverse (336001000001), we get a palindrome (436001100634).

The spelling of 100000100633 in words is "one hundred billion, one hundred thousand, six hundred thirty-three".