33121132101 has 24 divisors (see below), whose sum is σ = 50858252640. Its totient is φ = 20711484000.

The previous prime is 33121132097. The next prime is 33121132151. The reversal of 33121132101 is 10123112133.

33121132101 is a `hidden beast` number, since 331 + 2 + 11 + 321 + 0 + 1 = 666.

It is not a de Polignac number, because 33121132101 - 2² = 33121132097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33121132151) 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 23 ways as a sum of consecutive naturals, for example, 941595 + ... + 976136.

It is an arithmetic number, because the mean of its divisors is an integer number (2119093860).

Almost surely, 2^33121132101 is an apocalyptic number.

It is an amenable number.

33121132101 is a deficient number, since it is larger than the sum of its proper divisors (17737120539).

33121132101 is a wasteful number, since it uses less digits than its factorization.

33121132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917857 (or 1917854 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 33121132101 its reverse (10123112133), we get a palindrome (43244244234).

The spelling of 33121132101 in words is "thirty-three billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred one".