101042033 has 8 divisors (see below), whose sum is σ = 107129952. Its totient is φ = 94970176.

The previous prime is 101042023. The next prime is 101042041. The reversal of 101042033 is 330240101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101042033 - 2²⁶ = 33933169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101041999 and 101042017.

It is not an unprimeable number, because it can be changed into a prime (101042023) 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 in 7 ways as a sum of consecutive naturals, for example, 10466 + ... + 17652.

It is an arithmetic number, because the mean of its divisors is an integer number (13391244).

Almost surely, 2^101042033 is an apocalyptic number.

It is an amenable number.

101042033 is a deficient number, since it is larger than the sum of its proper divisors (6087919).

101042033 is an equidigital number, since it uses as much as digits as its factorization.

101042033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8031.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 101042033 is about 10051.9666235021. The cubic root of 101042033 is about 465.7655451474.

Adding to 101042033 its reverse (330240101), we get a palindrome (431282134).

The spelling of 101042033 in words is "one hundred one million, forty-two thousand, thirty-three".