10221131110120 has 64 divisors (see below), whose sum is σ = 26993257476480. Its totient is φ = 3409674621696.

The previous prime is 10221131110117. The next prime is 10221131110241. The reversal of 10221131110120 is 2101113112201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10221131110094 and 10221131110103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493287474 + ... + 493308193.

It is an arithmetic number, because the mean of its divisors is an integer number (421769648070).

Almost surely, 2^{10221131110120} is an apocalyptic number.

10221131110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221131110120 is an abundant number, since it is smaller than the sum of its proper divisors (16772126366360).

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

10221131110120 is a wasteful number, since it uses less digits than its factorization.

10221131110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986595722 (or 986595718 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10221131110120 its reverse (2101113112201), we get a palindrome (12322244222321).

The spelling of 10221131110120 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred ten thousand, one hundred twenty".