2201011101200 has 120 divisors (see below), whose sum is σ = 5376826251720. Its totient is φ = 865615564800.

The previous prime is 2201011101181. The next prime is 2201011101209. The reversal of 2201011101200 is 21011101022.

It can be written as a sum of positive squares in 12 ways, for example, as 451433484544 + 1749577616656 = 671888^2 + 1322716^2 .

It is not an unprimeable number, because it can be changed into a prime (2201011101209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63837566 + ... + 63872034.

It is an arithmetic number, because the mean of its divisors is an integer number (44806885431).

Almost surely, 2^{2201011101200} is an apocalyptic number.

2201011101200 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 2201011101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688413125860).

2201011101200 is an abundant number, since it is smaller than the sum of its proper divisors (3175815150520).

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

2201011101200 is a wasteful number, since it uses less digits than its factorization.

2201011101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37165 (or 37154 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2201011101200 its reverse (21011101022), we get a palindrome (2222022202222).

The spelling of 2201011101200 in words is "two trillion, two hundred one billion, eleven million, one hundred one thousand, two hundred".