10221201101200 has 120 divisors (see below), whose sum is σ = 26002646974080. Its totient is φ = 3847727769600.

The previous prime is 10221201101173. The next prime is 10221201101227. The reversal of 10221201101200 is 210110212201.

It is an interprime number because it is at equal distance from previous prime (10221201101173) and next prime (10221201101227).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126976965 + ... + 127057435.

It is an arithmetic number, because the mean of its divisors is an integer number (216688724784).

Almost surely, 2^{10221201101200} is an apocalyptic number.

10221201101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221201101200 is an abundant number, since it is smaller than the sum of its proper divisors (15781445872880).

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

10221201101200 is a wasteful number, since it uses less digits than its factorization.

10221201101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99185 (or 99174 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221201101200 its reverse (210110212201), we get a palindrome (10431311313401).

The spelling of 10221201101200 in words is "ten trillion, two hundred twenty-one billion, two hundred one million, one hundred one thousand, two hundred".