10110221101200 has 480 divisors, whose sum is σ = 35611734131712. Its totient is φ = 2431524096000.

The previous prime is 10110221101181. The next prime is 10110221101223. The reversal of 10110221101200 is 210112201101.

It is a super-4 number, since 4×10110221101200⁴ (a number of 53 digits) contains 4444 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1112108655 + ... + 1112117745.

Almost surely, 2^{10110221101200} is an apocalyptic number.

10110221101200 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 10110221101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17805867065856).

10110221101200 is an abundant number, since it is smaller than the sum of its proper divisors (25501513030512).

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

10110221101200 is a wasteful number, since it uses less digits than its factorization.

10110221101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9783 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10110221101200 its reverse (210112201101), we get a palindrome (10320333302301).

The spelling of 10110221101200 in words is "ten trillion, one hundred ten billion, two hundred twenty-one million, one hundred one thousand, two hundred".