33101122000 has 160 divisors (see below), whose sum is σ = 83247484320. Its totient is φ = 12714598400.

The previous prime is 33101121997. The next prime is 33101122009. The reversal of 33101122000 is 22110133.

It can be written as a sum of positive squares in 16 ways, for example, as 19849428544 + 13251693456 = 140888^2 + 115116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33101122009) 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 31 ways as a sum of consecutive naturals, for example, 11424552 + ... + 11427448.

It is an arithmetic number, because the mean of its divisors is an integer number (520296777).

Almost surely, 2^33101122000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33101122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41623742160).

33101122000 is an abundant number, since it is smaller than the sum of its proper divisors (50146362320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33101122000 is a wasteful number, since it uses less digits than its factorization.

33101122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 33101122000 its reverse (22110133), we get a palindrome (33123232133).

The spelling of 33101122000 in words is "thirty-three billion, one hundred one million, one hundred twenty-two thousand".