2112302210100 has 288 divisors, whose sum is σ = 6327420019200. Its totient is φ = 543711744000.

The previous prime is 2112302210099. The next prime is 2112302210149. The reversal of 2112302210100 is 10122032112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112302210100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 496659574 + ... + 496663826.

It is an arithmetic number, because the mean of its divisors is an integer number (21970208400).

Almost surely, 2^{2112302210100} is an apocalyptic number.

2112302210100 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 2112302210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163710009600).

2112302210100 is an abundant number, since it is smaller than the sum of its proper divisors (4215117809100).

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

2112302210100 is a wasteful number, since it uses less digits than its factorization.

2112302210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2112302210100 its reverse (10122032112), we get a palindrome (2122424242212).

The spelling of 2112302210100 in words is "two trillion, one hundred twelve billion, three hundred two million, two hundred ten thousand, one hundred".