2033003102000 has 160 divisors (see below), whose sum is σ = 5297756755200. Its totient is φ = 750106137600.

The previous prime is 2033003101981. The next prime is 2033003102051. The reversal of 2033003102000 is 2013003302.

It is a super-2 number, since 2×2033003102000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36970526 + ... + 37025474.

It is an arithmetic number, because the mean of its divisors is an integer number (33110979720).

Almost surely, 2^{2033003102000} is an apocalyptic number.

2033003102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033003102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648878377600).

2033003102000 is an abundant number, since it is smaller than the sum of its proper divisors (3264753653200).

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

2033003102000 is a wasteful number, since it uses less digits than its factorization.

2033003102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56408 (or 56392 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 2033003102000 its reverse (2013003302), we get a palindrome (2035016105302).

The spelling of 2033003102000 in words is "two trillion, thirty-three billion, three million, one hundred two thousand".