100100010100933 has 2 divisors, whose sum is σ = 100100010100934. Its totient is φ = 100100010100932.

The previous prime is 100100010100927. The next prime is 100100010101009. The reversal of 100100010100933 is 339001010001001.

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., 56099845340289 + 44000164760644 = 7489983^2 + 6633262^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100010100933 - 2²⁵ = 100099976546501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100010100933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100010160933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005050466 + 50050005050467.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005050467).

Almost surely, 2^{100100010100933} is an apocalyptic number.

It is an amenable number.

100100010100933 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100010100933 is an equidigital number, since it uses as much as digits as its factorization.

100100010100933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 100100010100933 its reverse (339001010001001), we get a palindrome (439101020101934).

The spelling of 100100010100933 in words is "one hundred trillion, one hundred billion, ten million, one hundred thousand, nine hundred thirty-three".