2100100033 has 2 divisors, whose sum is σ = 2100100034. Its totient is φ = 2100100032.

The previous prime is 2100099979. The next prime is 2100100081. The reversal of 2100100033 is 3300010012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2087758864 + 12341169 = 45692^2 + 3513^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100100033 - 2¹⁷ = 2099968961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100099992 and 2100100019.

It is not a weakly prime, because it can be changed into another prime (2100100433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050016 + 1050050017.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050017).

Almost surely, 2^2100100033 is an apocalyptic number.

It is an amenable number.

2100100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100100033 is an equidigital number, since it uses as much as digits as its factorization.

2100100033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2100100033 is about 45826.8483860717. The cubic root of 2100100033 is about 1280.5994980259.

Adding to 2100100033 its reverse (3300010012), we get a palindrome (5400110045).

The spelling of 2100100033 in words is "two billion, one hundred million, one hundred thousand, thirty-three".