10221122222120 has 32 divisors (see below), whose sum is σ = 23124583165320. Its totient is φ = 4065860770560.

The previous prime is 10221122222041. The next prime is 10221122222137. The reversal of 10221122222120 is 2122222112201.

10221122222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6496615931716 + 3724506290404 = 2548846^2 + 1929898^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10221122222092 and 10221122222101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705871367 + ... + 705885846.

Almost surely, 2^{10221122222120} is an apocalyptic number.

10221122222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221122222120 is an abundant number, since it is smaller than the sum of its proper divisors (12903460943200).

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

10221122222120 is a wasteful number, since it uses less digits than its factorization.

10221122222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411757405 (or 1411757401 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10221122222120 its reverse (2122222112201), we get a palindrome (12343344334321).

The spelling of 10221122222120 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".