10011121211200 has 168 divisors, whose sum is σ = 25130199314304. Its totient is φ = 3924399360000.

The previous prime is 10011121211197. The next prime is 10011121211209. The reversal of 10011121211200 is 211212111001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011121211209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18707350 + ... + 19235050.

It is an arithmetic number, because the mean of its divisors is an integer number (149584519728).

Almost surely, 2^{10011121211200} is an apocalyptic number.

10011121211200 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 10011121211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565099657152).

10011121211200 is an abundant number, since it is smaller than the sum of its proper divisors (15119078103104).

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

10011121211200 is a wasteful number, since it uses less digits than its factorization.

10011121211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527961 (or 527946 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011121211200 its reverse (211212111001), we get a palindrome (10222333322201).

The spelling of 10011121211200 in words is "ten trillion, eleven billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".