101010033 has 12 divisors (see below), whose sum is σ = 147268368. Its totient is φ = 66710040.

The previous prime is 101010031. The next prime is 101010079. The reversal of 101010033 is 330010101.

It is not a de Polignac number, because 101010033 - 2¹ = 101010031 is a prime.

It is a super-2 number, since 2×101010033² = 20406053533322178, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101009997 and 101010024.

It is not an unprimeable number, because it can be changed into a prime (101010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51483 + ... + 53408.

It is an arithmetic number, because the mean of its divisors is an integer number (12272364).

Almost surely, 2^101010033 is an apocalyptic number.

It is an amenable number.

101010033 is a deficient number, since it is larger than the sum of its proper divisors (46258335).

101010033 is a wasteful number, since it uses less digits than its factorization.

101010033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105004 (or 105001 counting only the distinct ones).

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

The square root of 101010033 is about 10050.3747691317. The cubic root of 101010033 is about 465.7163706581.

Adding to 101010033 its reverse (330010101), we get a palindrome (431020134).

The spelling of 101010033 in words is "one hundred one million, ten thousand, thirty-three".