10022122020200 has 96 divisors (see below), whose sum is σ = 23381736285600. Its totient is φ = 3995038275840.

The previous prime is 10022122020199. The next prime is 10022122020269. The reversal of 10022122020200 is 202022122001.

10022122020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419165846 + ... + 419189754.

It is an arithmetic number, because the mean of its divisors is an integer number (243559752975).

Almost surely, 2^{10022122020200} is an apocalyptic number.

10022122020200 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 10022122020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11690868142800).

10022122020200 is an abundant number, since it is smaller than the sum of its proper divisors (13359614265400).

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

10022122020200 is a wasteful number, since it uses less digits than its factorization.

10022122020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31059 (or 31050 counting only the distinct ones).

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

Adding to 10022122020200 its reverse (202022122001), we get a palindrome (10224144142201).

The spelling of 10022122020200 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, twenty thousand, two hundred".