2033120100 has 144 divisors (see below), whose sum is σ = 6794940096. Its totient is φ = 463872000.

The previous prime is 2033120077. The next prime is 2033120113. The reversal of 2033120100 is 10213302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37980 + ... + 74220.

It is an arithmetic number, because the mean of its divisors is an integer number (47187084).

Almost surely, 2^2033120100 is an apocalyptic number.

2033120100 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 2033120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397470048).

2033120100 is an abundant number, since it is smaller than the sum of its proper divisors (4761819996).

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

2033120100 is a wasteful number, since it uses less digits than its factorization.

2033120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36286 (or 36279 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2033120100 is about 45090.1330670026. The cubic root of 2033120100 is about 1266.8377939002.

Adding to 2033120100 its reverse (10213302), we get a palindrome (2043333402).

The spelling of 2033120100 in words is "two billion, thirty-three million, one hundred twenty thousand, one hundred".