10221001221200 has 120 divisors (see below), whose sum is σ = 30615217256640. Its totient is φ = 3185766604800.

The previous prime is 10221001221149. The next prime is 10221001221247. The reversal of 10221001221200 is 212210012201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent 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, 165894545 + ... + 165956144.

It is an arithmetic number, because the mean of its divisors is an integer number (255126810472).

Almost surely, 2^{10221001221200} is an apocalyptic number.

10221001221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221001221200 is an abundant number, since it is smaller than the sum of its proper divisors (20394216035440).

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

10221001221200 is a wasteful number, since it uses less digits than its factorization.

10221001221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331850725 (or 331850714 counting only the distinct ones).

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

Adding to 10221001221200 its reverse (212210012201), we get a palindrome (10433211233401).

The spelling of 10221001221200 in words is "ten trillion, two hundred twenty-one billion, one million, two hundred twenty-one thousand, two hundred".