10200222120220 has 384 divisors, whose sum is σ = 24323303676672. Its totient is φ = 3562094592000.

The previous prime is 10200222120217. The next prime is 10200222120227. The reversal of 10200222120220 is 2202122200201.

It is a junction number, because it is equal to n+sod(n) for n = 10200222120194 and 10200222120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200222120227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43777777224 + ... + 43777777456.

It is an arithmetic number, because the mean of its divisors is an integer number (63341936658).

Almost surely, 2^{10200222120220} is an apocalyptic number.

10200222120220 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 10200222120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161651838336).

10200222120220 is an abundant number, since it is smaller than the sum of its proper divisors (14123081556452).

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

10200222120220 is a wasteful number, since it uses less digits than its factorization.

10200222120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 759 counting only the distinct ones).

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

Adding to 10200222120220 its reverse (2202122200201), we get a palindrome (12402344320421).

It can be divided in two parts, 102002 and 22120220, that added together give a palindrome (22222222).

The spelling of 10200222120220 in words is "ten trillion, two hundred billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty".