2212311002100 has 72 divisors (see below), whose sum is σ = 6777479838528. Its totient is φ = 555246681600.

The previous prime is 2212311002081. The next prime is 2212311002123. The reversal of 2212311002100 is 12001132122.

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 2212311002100.

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 23 ways as a sum of consecutive naturals, for example, 216888136 + ... + 216898335.

It is an arithmetic number, because the mean of its divisors is an integer number (94131664424).

Almost surely, 2^{2212311002100} is an apocalyptic number.

2212311002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212311002100 is an abundant number, since it is smaller than the sum of its proper divisors (4565168836428).

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

2212311002100 is a wasteful number, since it uses less digits than its factorization.

2212311002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433786505 (or 433786498 counting only the distinct ones).

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

Adding to 2212311002100 its reverse (12001132122), we get a palindrome (2224312134222).

The spelling of 2212311002100 in words is "two trillion, two hundred twelve billion, three hundred eleven million, two thousand, one hundred".