10101033 has 12 divisors (see below), whose sum is σ = 14654068. Its totient is φ = 6704640.

The previous prime is 10101023. The next prime is 10101079. The reversal of 10101033 is 33010101.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 5890329 = 2052^2 + 2427^2 .

It is not a de Polignac number, because 10101033 - 2⁸ = 10100777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160 + ... + 4497.

Almost surely, 2^10101033 is an apocalyptic number.

It is an amenable number.

10101033 is a deficient number, since it is larger than the sum of its proper divisors (4553035).

10101033 is a wasteful number, since it uses less digits than its factorization.

10101033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 10101033 is about 3178.2122333161. The cubic root of 10101033 is about 216.1666024323.

Adding to 10101033 its reverse (33010101), we get a palindrome (43111134).

The spelling of 10101033 in words is "ten million, one hundred one thousand, thirty-three".