10221220022202 has 256 divisors, whose sum is σ = 27234625904640. Its totient is φ = 2780364787200.

The previous prime is 10221220022171. The next prime is 10221220022207. The reversal of 10221220022202 is 20222002212201.

10221220022202 is a `hidden beast` number, since 1 + 0 + 221 + 220 + 0 + 2 + 220 + 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 (10221220022207) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 815018052 + ... + 815030592.

It is an arithmetic number, because the mean of its divisors is an integer number (106385257440).

Almost surely, 2^{10221220022202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221220022202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617312952320).

10221220022202 is an abundant number, since it is smaller than the sum of its proper divisors (17013405882438).

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

10221220022202 is a wasteful number, since it uses less digits than its factorization.

10221220022202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13866 (or 13860 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10221220022202 its reverse (20222002212201), we get a palindrome (30443222234403).

The spelling of 10221220022202 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, two hundred two".