10221200201056 has 48 divisors (see below), whose sum is σ = 21755232876384. Its totient is φ = 4699121025024.

The previous prime is 10221200200963. The next prime is 10221200201057. The reversal of 10221200201056 is 65010200212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221200201057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47695020 + ... + 47908843.

It is an arithmetic number, because the mean of its divisors is an integer number (453234018258).

Almost surely, 2^{10221200201056} is an apocalyptic number.

10221200201056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10221200201056 is an abundant number, since it is smaller than the sum of its proper divisors (11534032675328).

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

10221200201056 is a wasteful number, since it uses less digits than its factorization.

10221200201056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95604143 (or 95604135 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10221200201056 its reverse (65010200212201), we get a palindrome (75231400413257).

The spelling of 10221200201056 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred one thousand, fifty-six".