10221102110320 has 20 divisors (see below), whose sum is σ = 23764062406680. Its totient is φ = 4088440844096.

The previous prime is 10221102110287. The next prime is 10221102110327. The reversal of 10221102110320 is 2301120112201.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10221102110294 and 10221102110303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221102110327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63881888110 + ... + 63881888269.

It is an arithmetic number, because the mean of its divisors is an integer number (1188203120334).

Almost surely, 2^{10221102110320} is an apocalyptic number.

10221102110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221102110320 is an abundant number, since it is smaller than the sum of its proper divisors (13542960296360).

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

10221102110320 is a wasteful number, since it uses less digits than its factorization.

10221102110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127763776392 (or 127763776386 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10221102110320 its reverse (2301120112201), we get a palindrome (12522222222521).

The spelling of 10221102110320 in words is "ten trillion, two hundred twenty-one billion, one hundred two million, one hundred ten thousand, three hundred twenty".