33022002122001 has 6 divisors (see below), whose sum is σ = 47698447509570. Its totient is φ = 22014668081328.

The previous prime is 33022002121991. The next prime is 33022002122017. The reversal of 33022002122001 is 10022120022033.

33022002122001 is a `hidden beast` number, since 3 + 30 + 220 + 0 + 212 + 200 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29767946912001 + 3254055210000 = 5456001^2 + 1803900^2 .

It is a de Polignac number, because none of the positive numbers 2^k-33022002122001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33022002122401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1834555673436 + ... + 1834555673453.

It is an arithmetic number, because the mean of its divisors is an integer number (7949741251595).

Almost surely, 2^{33022002122001} is an apocalyptic number.

It is an amenable number.

33022002122001 is a deficient number, since it is larger than the sum of its proper divisors (14676445387569).

33022002122001 is a wasteful number, since it uses less digits than its factorization.

33022002122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669111346895 (or 3669111346892 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33022002122001 its reverse (10022120022033), we get a palindrome (43044122144034).

The spelling of 33022002122001 in words is "thirty-three trillion, twenty-two billion, two million, one hundred twenty-two thousand, one".