10140321110200 has 192 divisors, whose sum is σ = 24174059904000. Its totient is φ = 3954328035840.

The previous prime is 10140321110119. The next prime is 10140321110219. The reversal of 10140321110200 is 201112304101.

It is a super-2 number, since 2×10140321110200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1233761691 + ... + 1233769909.

It is an arithmetic number, because the mean of its divisors is an integer number (125906562000).

Almost surely, 2^{10140321110200} is an apocalyptic number.

10140321110200 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 10140321110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12087029952000).

10140321110200 is an abundant number, since it is smaller than the sum of its proper divisors (14033738793800).

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

10140321110200 is a wasteful number, since it uses less digits than its factorization.

10140321110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10140321110200 its reverse (201112304101), we get a palindrome (10341433414301).

The spelling of 10140321110200 in words is "ten trillion, one hundred forty billion, three hundred twenty-one million, one hundred ten thousand, two hundred".