2201120021100 has 2304 divisors, whose sum is σ = 9549852770304. Its totient is φ = 376233984000.

The previous prime is 2201120021099. The next prime is 2201120021131. The reversal of 2201120021100 is 11200211022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8122213965 + ... + 8122214235.

It is an arithmetic number, because the mean of its divisors is an integer number (4144901376).

Almost surely, 2^{2201120021100} is an apocalyptic number.

2201120021100 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 2201120021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774926385152).

2201120021100 is an abundant number, since it is smaller than the sum of its proper divisors (7348732749204).

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

2201120021100 is a wasteful number, since it uses less digits than its factorization.

2201120021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

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

Adding to 2201120021100 its reverse (11200211022), we get a palindrome (2212320232122).

It can be divided in two parts, 2 and 201120021100, that added together give a palindrome (201120021102).

The spelling of 2201120021100 in words is "two trillion, two hundred one billion, one hundred twenty million, twenty-one thousand, one hundred".