2133330100110 has 512 divisors, whose sum is σ = 6471224524800. Its totient is φ = 495607680000.

The previous prime is 2133330100103. The next prime is 2133330100123. The reversal of 2133330100110 is 110010333312.

It is a happy number.

2133330100110 is a `hidden beast` number, since 21 + 333 + 301 + 0 + 0 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3549633810 + ... + 3549634410.

It is an arithmetic number, because the mean of its divisors is an integer number (12639110400).

Almost surely, 2^{2133330100110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133330100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235612262400).

2133330100110 is an abundant number, since it is smaller than the sum of its proper divisors (4337894424690).

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

2133330100110 is a wasteful number, since it uses less digits than its factorization.

2133330100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 2133330100110 its reverse (110010333312), we get a palindrome (2243340433422).

The spelling of 2133330100110 in words is "two trillion, one hundred thirty-three billion, three hundred thirty million, one hundred thousand, one hundred ten".