10022001112200 has 768 divisors, whose sum is σ = 39612718909440. Its totient is φ = 2035694592000.

The previous prime is 10022001112183. The next prime is 10022001112301. The reversal of 10022001112200 is 221110022001.

It is a super-3 number, since 3×10022001112200³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459355692 + ... + 459377508.

It is an arithmetic number, because the mean of its divisors is an integer number (51579061080).

Almost surely, 2^{10022001112200} is an apocalyptic number.

10022001112200 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 10022001112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19806359454720).

10022001112200 is an abundant number, since it is smaller than the sum of its proper divisors (29590717797240).

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

10022001112200 is a wasteful number, since it uses less digits than its factorization.

10022001112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22078 (or 22069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022001112200 its reverse (221110022001), we get a palindrome (10243111134201).

The spelling of 10022001112200 in words is "ten trillion, twenty-two billion, one million, one hundred twelve thousand, two hundred".