101012033 has 2 divisors, whose sum is σ = 101012034. Its totient is φ = 101012032.

The previous prime is 101012029. The next prime is 101012053. The reversal of 101012033 is 330210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100962304 + 49729 = 10048^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012033 - 2² = 101012029 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506016 + 50506017.

It is an arithmetic number, because the mean of its divisors is an integer number (50506017).

Almost surely, 2^101012033 is an apocalyptic number.

It is an amenable number.

101012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012033 is an equidigital number, since it uses as much as digits as its factorization.

101012033 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 11.

The square root of 101012033 is about 10050.4742674164. The cubic root of 101012033 is about 465.7194443679.

Adding to 101012033 its reverse (330210101), we get a palindrome (431222134).

The spelling of 101012033 in words is "one hundred one million, twelve thousand, thirty-three".