10111421025200 has 120 divisors (see below), whose sum is σ = 26533169714880. Its totient is φ = 3672433004800.

The previous prime is 10111421025191. The next prime is 10111421025203. The reversal of 10111421025200 is 252012411101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10111421025203) 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, 2249411 + ... + 5028189.

It is an arithmetic number, because the mean of its divisors is an integer number (221109747624).

Almost surely, 2^{10111421025200} is an apocalyptic number.

10111421025200 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 10111421025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13266584857440).

10111421025200 is an abundant number, since it is smaller than the sum of its proper divisors (16421748689680).

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

10111421025200 is a wasteful number, since it uses less digits than its factorization.

10111421025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779635 (or 2779624 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 10111421025200 its reverse (252012411101), we get a palindrome (10363433436301).

The spelling of 10111421025200 in words is "ten trillion, one hundred eleven billion, four hundred twenty-one million, twenty-five thousand, two hundred".