2113112100 has 144 divisors (see below), whose sum is σ = 6699946176. Its totient is φ = 509952000.

The previous prime is 2113112021. The next prime is 2113112101. The reversal of 2113112100 is 12113112.

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

It is not an unprimeable number, because it can be changed into a prime (2113112101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793972 + ... + 796628.

It is an arithmetic number, because the mean of its divisors is an integer number (46527404).

Almost surely, 2^2113112100 is an apocalyptic number.

2113112100 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 2113112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349973088).

2113112100 is an abundant number, since it is smaller than the sum of its proper divisors (4586834076).

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

2113112100 is a wasteful number, since it uses less digits than its factorization.

2113112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2919 counting only the distinct ones).

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

The square root of 2113112100 is about 45968.5990650139. The cubic root of 2113112100 is about 1283.2388881228.

Adding to 2113112100 its reverse (12113112), we get a palindrome (2125225212).

The spelling of 2113112100 in words is "two billion, one hundred thirteen million, one hundred twelve thousand, one hundred".