10200022021200 has 240 divisors, whose sum is σ = 36095639731200. Its totient is φ = 2441431948800.

The previous prime is 10200022021159. The next prime is 10200022021201. The reversal of 10200022021200 is 212022000201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200022021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3847890 + ... + 5933489.

It is an arithmetic number, because the mean of its divisors is an integer number (150398498880).

Almost surely, 2^{10200022021200} is an apocalyptic number.

10200022021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200022021200 is an abundant number, since it is smaller than the sum of its proper divisors (25895617710000).

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

10200022021200 is a wasteful number, since it uses less digits than its factorization.

10200022021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781490 (or 9781479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10200022021200 its reverse (212022000201), we get a palindrome (10412044021401).

The spelling of 10200022021200 in words is "ten trillion, two hundred billion, twenty-two million, twenty-one thousand, two hundred".