33004212101 has 12 divisors (see below), whose sum is σ = 38422513260. Its totient is φ = 28267323840.

The previous prime is 33004212061. The next prime is 33004212169. The reversal of 33004212101 is 10121240033.

It can be written as a sum of positive squares in 2 ways, for example, as 17272530625 + 15731681476 = 131425^2 + 125426^2 .

It is not a de Polignac number, because 33004212101 - 2²² = 33000017797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33004212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33004212601) 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, 198110 + ... + 324431.

It is an arithmetic number, because the mean of its divisors is an integer number (3201876105).

Almost surely, 2^33004212101 is an apocalyptic number.

It is an amenable number.

33004212101 is a deficient number, since it is larger than the sum of its proper divisors (5418301159).

33004212101 is a wasteful number, since it uses less digits than its factorization.

33004212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523844 (or 523837 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 33004212101 its reverse (10121240033), we get a palindrome (43125452134).

The spelling of 33004212101 in words is "thirty-three billion, four million, two hundred twelve thousand, one hundred one".