10221020000022 has 256 divisors, whose sum is σ = 24035452600320. Its totient is φ = 2871348480000.

The previous prime is 10221019999973. The next prime is 10221020000027. The reversal of 10221020000022 is 22000002012201.

It is a junction number, because it is equal to n+sod(n) for n = 10221019999962 and 10221020000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221020000027) 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, 5238861147 + ... + 5238863097.

It is an arithmetic number, because the mean of its divisors is an integer number (93888486720).

Almost surely, 2^{10221020000022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221020000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017726300160).

10221020000022 is an abundant number, since it is smaller than the sum of its proper divisors (13814432600298).

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

10221020000022 is a wasteful number, since it uses less digits than its factorization.

10221020000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10221020000022 its reverse (22000002012201), we get a palindrome (32221022012223).

The spelling of 10221020000022 in words is "ten trillion, two hundred twenty-one billion, twenty million, twenty-two", and thus it is an aban number.