10221222122202 has 256 divisors, whose sum is σ = 26100959689728. Its totient is φ = 2596462387200.

The previous prime is 10221222122201. The next prime is 10221222122207. The reversal of 10221222122202 is 20222122212201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10221222122201) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1032337452 + ... + 1032347352.

It is an arithmetic number, because the mean of its divisors is an integer number (101956873788).

Almost surely, 2^{10221222122202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221222122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13050479844864).

10221222122202 is an abundant number, since it is smaller than the sum of its proper divisors (15879737567526).

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

10221222122202 is a wasteful number, since it uses less digits than its factorization.

10221222122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10473.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10221222122202 its reverse (20222122212201), we get a palindrome (30443344334403).

The spelling of 10221222122202 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred two".