10221030222120 has 48 divisors (see below), whose sum is σ = 33218348223060. Its totient is φ = 2725608059136.

The previous prime is 10221030222107. The next prime is 10221030222217. The reversal of 10221030222120 is 2122203012201.

10221030222120 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 302 + 22 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9515460461796 + 705569760324 = 3084714^2 + 839982^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10221030222093 and 10221030222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14195874949 + ... + 14195875668.

Almost surely, 2^{10221030222120} is an apocalyptic number.

10221030222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221030222120 is an abundant number, since it is smaller than the sum of its proper divisors (22997318000940).

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

10221030222120 is a wasteful number, since it uses less digits than its factorization.

10221030222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28391750634 (or 28391750627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221030222120 its reverse (2122203012201), we get a palindrome (12343233234321).

The spelling of 10221030222120 in words is "ten trillion, two hundred twenty-one billion, thirty million, two hundred twenty-two thousand, one hundred twenty".