33505010121 has 64 divisors (see below), whose sum is σ = 50448199680. Its totient is φ = 19606944000.

The previous prime is 33505010089. The next prime is 33505010131. The reversal of 33505010121 is 12101050533.

It is not a de Polignac number, because 33505010121 - 2⁵ = 33505010089 is a prime.

It is a super-4 number, since 4×33505010121⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33505010131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51309031 + ... + 51309683.

It is an arithmetic number, because the mean of its divisors is an integer number (788253120).

Almost surely, 2^33505010121 is an apocalyptic number.

It is an amenable number.

33505010121 is a deficient number, since it is larger than the sum of its proper divisors (16943189559).

33505010121 is a wasteful number, since it uses less digits than its factorization.

33505010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158.

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 33505010121 its reverse (12101050533), we get a palindrome (45606060654).

The spelling of 33505010121 in words is "thirty-three billion, five hundred five million, ten thousand, one hundred twenty-one".