10202012220200 has 96 divisors (see below), whose sum is σ = 23973274719360. Its totient is φ = 4037277120000.

The previous prime is 10202012220173. The next prime is 10202012220203. The reversal of 10202012220200 is 202221020201.

It is a super-2 number, since 2×10202012220200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10202012220203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15754004 + ... + 16388796.

It is an arithmetic number, because the mean of its divisors is an integer number (249721611660).

Almost surely, 2^{10202012220200} is an apocalyptic number.

10202012220200 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 10202012220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11986637359680).

10202012220200 is an abundant number, since it is smaller than the sum of its proper divisors (13771262499160).

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

10202012220200 is a wasteful number, since it uses less digits than its factorization.

10202012220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635667 (or 635658 counting only the distinct ones).

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

Adding to 10202012220200 its reverse (202221020201), we get a palindrome (10404233240401).

The spelling of 10202012220200 in words is "ten trillion, two hundred two billion, twelve million, two hundred twenty thousand, two hundred".