2212100310400 has 288 divisors, whose sum is σ = 5639076776880. Its totient is φ = 857284915200.

The previous prime is 2212100310391. The next prime is 2212100310403. The reversal of 2212100310400 is 40130012122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212100310403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 790881802 + ... + 790884598.

Almost surely, 2^{2212100310400} is an apocalyptic number.

2212100310400 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 2212100310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819538388440).

2212100310400 is an abundant number, since it is smaller than the sum of its proper divisors (3426976466480).

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

2212100310400 is an equidigital number, since it uses as much as digits as its factorization.

2212100310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2212100310400 its reverse (40130012122), we get a palindrome (2252230322522).

The spelling of 2212100310400 in words is "two trillion, two hundred twelve billion, one hundred million, three hundred ten thousand, four hundred".