10221011012200 has 48 divisors (see below), whose sum is σ = 23764913948160. Its totient is φ = 4088221464000.

The previous prime is 10221011012159. The next prime is 10221011012207. The reversal of 10221011012200 is 221011012201.

It is a super-3 number, since 3×10221011012200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10221011012207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3382105 + ... + 5646295.

It is an arithmetic number, because the mean of its divisors is an integer number (495102373920).

Almost surely, 2^{10221011012200} is an apocalyptic number.

10221011012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221011012200 is an abundant number, since it is smaller than the sum of its proper divisors (13543902935960).

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

10221011012200 is a wasteful number, since it uses less digits than its factorization.

10221011012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286778 (or 2286769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221011012200 its reverse (221011012201), we get a palindrome (10442022024401).

Subtracting from 10221011012200 its reverse (221011012201), we obtain a palindrome (9999999999999).

The spelling of 10221011012200 in words is "ten trillion, two hundred twenty-one billion, eleven million, twelve thousand, two hundred".