10221202221200 has 120 divisors (see below), whose sum is σ = 24692535201600. Its totient is φ = 4065872320000.

The previous prime is 10221202221199. The next prime is 10221202221221. The reversal of 10221202221200 is 212220212201.

It is a happy number.

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, 64880126 + ... + 65037474.

It is an arithmetic number, because the mean of its divisors is an integer number (205771126680).

Almost surely, 2^{10221202221200} is an apocalyptic number.

10221202221200 is a gapful number since it is divisible by the number (10) 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 10221202221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346267600800).

10221202221200 is an abundant number, since it is smaller than the sum of its proper divisors (14471332980400).

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

10221202221200 is a wasteful number, since it uses less digits than its factorization.

10221202221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158265 (or 158254 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10221202221200 its reverse (212220212201), we get a palindrome (10433422433401).

The spelling of 10221202221200 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, two hundred twenty-one thousand, two hundred".