10111212221200 has 120 divisors (see below), whose sum is σ = 24407659559808. Its totient is φ = 4025299799040.

The previous prime is 10111212221161. The next prime is 10111212221219. The reversal of 10111212221200 is 212221211101.

It is a super-2 number, since 2×10111212221200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80941989 + ... + 81066811.

Almost surely, 2^{10111212221200} is an apocalyptic number.

10111212221200 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 10111212221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203829779904).

10111212221200 is an abundant number, since it is smaller than the sum of its proper divisors (14296447338608).

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

10111212221200 is a wasteful number, since it uses less digits than its factorization.

10111212221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125801 (or 125790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10111212221200 its reverse (212221211101), we get a palindrome (10323433432301).

The spelling of 10111212221200 in words is "ten trillion, one hundred eleven billion, two hundred twelve million, two hundred twenty-one thousand, two hundred".