2201121012200 has 384 divisors, whose sum is σ = 6023483222400. Its totient is φ = 739074048000.

The previous prime is 2201121012199. The next prime is 2201121012221. The reversal of 2201121012200 is 22101211022.

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, 2155847690 + ... + 2155848710.

It is an arithmetic number, because the mean of its divisors is an integer number (15686154225).

Almost surely, 2^{2201121012200} is an apocalyptic number.

2201121012200 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 2201121012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011741611200).

2201121012200 is an abundant number, since it is smaller than the sum of its proper divisors (3822362210200).

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

2201121012200 is a wasteful number, since it uses less digits than its factorization.

2201121012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2201121012200 its reverse (22101211022), we get a palindrome (2223222223222).

The spelling of 2201121012200 in words is "two trillion, two hundred one billion, one hundred twenty-one million, twelve thousand, two hundred".