2221001120100 has 432 divisors, whose sum is σ = 7623693302400. Its totient is φ = 488982528000.

The previous prime is 2221001120089. The next prime is 2221001120101. The reversal of 2221001120100 is 10211001222.

2221001120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2221001120101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 290361076 + ... + 290368724.

It is an arithmetic number, because the mean of its divisors is an integer number (17647438200).

Almost surely, 2^{2221001120100} is an apocalyptic number.

2221001120100 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 2221001120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811846651200).

2221001120100 is an abundant number, since it is smaller than the sum of its proper divisors (5402692182300).

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

2221001120100 is a wasteful number, since it uses less digits than its factorization.

2221001120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2221001120100 its reverse (10211001222), we get a palindrome (2231212121322).

The spelling of 2221001120100 in words is "two trillion, two hundred twenty-one billion, one million, one hundred twenty thousand, one hundred".