2013022100 has 72 divisors (see below), whose sum is σ = 4669576128. Its totient is φ = 751379200.

The previous prime is 2013022093. The next prime is 2013022117. The reversal of 2013022100 is 12203102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83627 + ... + 104973.

It is an arithmetic number, because the mean of its divisors is an integer number (64855224).

Almost surely, 2^2013022100 is an apocalyptic number.

2013022100 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 2013022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334788064).

2013022100 is an abundant number, since it is smaller than the sum of its proper divisors (2656554028).

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

2013022100 is a wasteful number, since it uses less digits than its factorization.

2013022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21425 (or 21418 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2013022100 is about 44866.7148340504. The cubic root of 2013022100 is about 1262.6496061641.

Adding to 2013022100 its reverse (12203102), we get a palindrome (2025225202).

The spelling of 2013022100 in words is "two billion, thirteen million, twenty-two thousand, one hundred".