10011221010200 has 96 divisors (see below), whose sum is σ = 23847846921360. Its totient is φ = 3906154598400.

The previous prime is 10011221010187. The next prime is 10011221010227. The reversal of 10011221010200 is 201012211001.

It is a super-2 number, since 2×10011221010200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 49648784 + ... + 49850016.

Almost surely, 2^{10011221010200} is an apocalyptic number.

10011221010200 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 10011221010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923923460680).

10011221010200 is an abundant number, since it is smaller than the sum of its proper divisors (13836625911160).

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

10011221010200 is a wasteful number, since it uses less digits than its factorization.

10011221010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207357 (or 207348 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10011221010200 its reverse (201012211001), we get a palindrome (10212233221201).

The spelling of 10011221010200 in words is "ten trillion, eleven billion, two hundred twenty-one million, ten thousand, two hundred".