10221220221210 has 144 divisors (see below), whose sum is σ = 26920886996952. Its totient is φ = 2690392320000.

The previous prime is 10221220221143. The next prime is 10221220221259. The reversal of 10221220221210 is 1212202212201.

It is a happy number.

10221220221210 is a `hidden beast` number, since 1 + 0 + 2 + 212 + 20 + 221 + 210 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3915993758769 + 6305226462441 = 1978887^2 + 2511021^2 .

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1032337260 + ... + 1032347160.

Almost surely, 2^{10221220221210} is an apocalyptic number.

10221220221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221220221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460443498476).

10221220221210 is an abundant number, since it is smaller than the sum of its proper divisors (16699666775742).

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

10221220221210 is a wasteful number, since it uses less digits than its factorization.

10221220221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221220221210 its reverse (1212202212201), we get a palindrome (11433422433411).

The spelling of 10221220221210 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twenty-one thousand, two hundred ten".