10020222122020 has 384 divisors, whose sum is σ = 24060814428672. Its totient is φ = 3474358272000.

The previous prime is 10020222122003. The next prime is 10020222122077. The reversal of 10020222122020 is 2022122202001.

It is a junction number, because it is equal to n+sod(n) for n = 10020222121985 and 10020222122003.

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 127 ways as a sum of consecutive naturals, for example, 14888888404 + ... + 14888889076.

It is an arithmetic number, because the mean of its divisors is an integer number (62658370908).

Almost surely, 2^{10020222122020} is an apocalyptic number.

10020222122020 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 10020222122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030407214336).

10020222122020 is an abundant number, since it is smaller than the sum of its proper divisors (14040592306652).

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

10020222122020 is a wasteful number, since it uses less digits than its factorization.

10020222122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10020222122020 its reverse (2022122202001), we get a palindrome (12042344324021).

It can be divided in two parts, 100202 and 22122020, that added together give a palindrome (22222222).

The spelling of 10020222122020 in words is "ten trillion, twenty billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty".