2033112100 has 72 divisors (see below), whose sum is σ = 4757508000. Its totient is φ = 751622400.

The previous prime is 2033112079. The next prime is 2033112101. The reversal of 2033112100 is 12113302.

It is a super-2 number, since 2×2033112100² = 8267089622332820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2033112101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64851 + ... + 90949.

It is an arithmetic number, because the mean of its divisors is an integer number (66076500).

Almost surely, 2^2033112100 is an apocalyptic number.

2033112100 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 2033112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378754000).

2033112100 is an abundant number, since it is smaller than the sum of its proper divisors (2724395900).

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

2033112100 is a wasteful number, since it uses less digits than its factorization.

2033112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26173 (or 26166 counting only the distinct ones).

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

The square root of 2033112100 is about 45090.0443557112. The cubic root of 2033112100 is about 1266.8361322972.

Adding to 2033112100 its reverse (12113302), we get a palindrome (2045225402).

The spelling of 2033112100 in words is "two billion, thirty-three million, one hundred twelve thousand, one hundred".