20102221022000 has 320 divisors, whose sum is σ = 53083841166720. Its totient is φ = 7318126080000.

The previous prime is 20102221021997. The next prime is 20102221022053. The reversal of 20102221022000 is 22012220102.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1098412850 + ... + 1098431150.

It is an arithmetic number, because the mean of its divisors is an integer number (165887003646).

Almost surely, 2^{20102221022000} is an apocalyptic number.

20102221022000 is a gapful number since it is divisible by the number (20) 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 20102221022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26541920583360).

20102221022000 is an abundant number, since it is smaller than the sum of its proper divisors (32981620144720).

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

20102221022000 is a wasteful number, since it uses less digits than its factorization.

20102221022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18929 (or 18913 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20102221022000 its reverse (22012220102), we get a palindrome (20124233242102).

The spelling of 20102221022000 in words is "twenty trillion, one hundred two billion, two hundred twenty-one million, twenty-two thousand".