2221100002100 has 576 divisors, whose sum is σ = 6058412236800. Its totient is φ = 689677148160.

The previous prime is 2221100002097. The next prime is 2221100002141. The reversal of 2221100002100 is 12000011222.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 11274619202 + ... + 11274619398.

It is an arithmetic number, because the mean of its divisors is an integer number (10518076800).

Almost surely, 2^{2221100002100} is an apocalyptic number.

2221100002100 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 2221100002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029206118400).

2221100002100 is an abundant number, since it is smaller than the sum of its proper divisors (3837312234700).

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

2221100002100 is a wasteful number, since it uses less digits than its factorization.

2221100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2221100002100 its reverse (12000011222), we get a palindrome (2233100013322).

The spelling of 2221100002100 in words is "two trillion, two hundred twenty-one billion, one hundred million, two thousand, one hundred".