2212111130100 has 288 divisors, whose sum is σ = 6630536035200. Its totient is φ = 568982568960.

The previous prime is 2212111130087. The next prime is 2212111130129. The reversal of 2212111130100 is 10311112122.

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 2212111130100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 670538251 + ... + 670541549.

Almost surely, 2^{2212111130100} is an apocalyptic number.

2212111130100 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 2212111130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315268017600).

2212111130100 is an abundant number, since it is smaller than the sum of its proper divisors (4418424905100).

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

2212111130100 is a wasteful number, since it uses less digits than its factorization.

2212111130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2212111130100 its reverse (10311112122), we get a palindrome (2222422242222).

The spelling of 2212111130100 in words is "two trillion, two hundred twelve billion, one hundred eleven million, one hundred thirty thousand, one hundred".