2120100233 has 16 divisors (see below), whose sum is σ = 2227067136. Its totient is φ = 2014425600.

The previous prime is 2120100197. The next prime is 2120100263. The reversal of 2120100233 is 3320010212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2120100233 - 2⁸ = 2120099977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2120100263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4214660 + ... + 4215162.

It is an arithmetic number, because the mean of its divisors is an integer number (139191696).

Almost surely, 2^2120100233 is an apocalyptic number.

2120100233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2120100233 is a deficient number, since it is larger than the sum of its proper divisors (106966903).

2120100233 is a wasteful number, since it uses less digits than its factorization.

2120100233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2120100233 is about 46044.5461808453. The cubic root of 2120100233 is about 1284.6519030671.

Adding to 2120100233 its reverse (3320010212), we get a palindrome (5440110445).

The spelling of 2120100233 in words is "two billion, one hundred twenty million, one hundred thousand, two hundred thirty-three".