10221220102212 has 216 divisors, whose sum is σ = 31455148810176. Its totient is φ = 2740786927488.

The previous prime is 10221220102211. The next prime is 10221220102241. The reversal of 10221220102212 is 21220102212201.

It is a happy number.

10221220102212 is a `hidden beast` number, since 1 + 0 + 221 + 220 + 1 + 0 + 221 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10221220102211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9208978 + ... + 10259030.

It is an arithmetic number, because the mean of its divisors is an integer number (145625688936).

Almost surely, 2^{10221220102212} is an apocalyptic number.

10221220102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221220102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15727574405088).

10221220102212 is an abundant number, since it is smaller than the sum of its proper divisors (21233928707964).

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

10221220102212 is a wasteful number, since it uses less digits than its factorization.

10221220102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050215 (or 1050191 counting only the distinct ones).

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

Adding to 10221220102212 its reverse (21220102212201), we get a palindrome (31441322314413).

The spelling of 10221220102212 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, one hundred two thousand, two hundred twelve".