10221122102220 has 240 divisors, whose sum is σ = 33464940239808. Its totient is φ = 2606595932160.

The previous prime is 10221122102167. The next prime is 10221122102221. The reversal of 10221122102220 is 2220122112201.

It is a happy number.

10221122102220 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 221 + 0 + 2 + 220 = 666.

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 = 10221122102193 and 10221122102202.

It is not an unprimeable number, because it can be changed into a prime (10221122102221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 202706452 + ... + 202756868.

Almost surely, 2^{10221122102220} is an apocalyptic number.

10221122102220 is a gapful number since it is divisible by the number (10) 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 10221122102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732470119904).

10221122102220 is an abundant number, since it is smaller than the sum of its proper divisors (23243818137588).

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

10221122102220 is a wasteful number, since it uses less digits than its factorization.

10221122102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55902 (or 55891 counting only the distinct ones).

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

Adding to 10221122102220 its reverse (2220122112201), we get a palindrome (12441244214421).

The spelling of 10221122102220 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty".