33010120100000 has 72 divisors (see below), whose sum is σ = 81230643585756. Its totient is φ = 13204048000000.

The previous prime is 33010120099993. The next prime is 33010120100011. The reversal of 33010120100000 is 102101033.

It can be written as a sum of positive squares in 6 ways, for example, as 7367685065104 + 25642435034896 = 2714348^2 + 5063836^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 164950601 + ... + 165150600.

Almost surely, 2^{33010120100000} is an apocalyptic number.

It is an amenable number.

33010120100000 is an abundant number, since it is smaller than the sum of its proper divisors (48220523485756).

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

33010120100000 is an frugal number, since it uses more digits than its factorization.

33010120100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330101236 (or 330101208 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 33010120100000 its reverse (102101033), we get a palindrome (33010222201033).

The spelling of 33010120100000 in words is "thirty-three trillion, ten billion, one hundred twenty million, one hundred thousand".