10100033173 has 2 divisors, whose sum is σ = 10100033174. Its totient is φ = 10100033172.

The previous prime is 10100033143. The next prime is 10100033231. The reversal of 10100033173 is 37133000101.

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., 9604392004 + 495641169 = 98002^2 + 22263^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100033173 - 2¹³ = 10100024981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100033173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100033143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050016586 + 5050016587.

It is an arithmetic number, because the mean of its divisors is an integer number (5050016587).

Almost surely, 2^10100033173 is an apocalyptic number.

It is an amenable number.

10100033173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100033173 is an equidigital number, since it uses as much as digits as its factorization.

10100033173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 19.

Adding to 10100033173 its reverse (37133000101), we get a palindrome (47233033274).

It can be divided in two parts, 1010003 and 3173, that added together give a triangular number (1013176 = T₁₄₂₃).

The spelling of 10100033173 in words is "ten billion, one hundred million, thirty-three thousand, one hundred seventy-three".