10140202105320 has 512 divisors, whose sum is σ = 36880684646400. Its totient is φ = 2181020774400.

The previous prime is 10140202105237. The next prime is 10140202105333. The reversal of 10140202105320 is 2350120204101.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 127 ways as a sum of consecutive naturals, for example, 2831665930 + ... + 2831669510.

It is an arithmetic number, because the mean of its divisors is an integer number (72032587200).

Almost surely, 2^{10140202105320} is an apocalyptic number.

10140202105320 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 10140202105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18440342323200).

10140202105320 is an abundant number, since it is smaller than the sum of its proper divisors (26740482541080).

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

10140202105320 is a wasteful number, since it uses less digits than its factorization.

10140202105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10140202105320 its reverse (2350120204101), we get a palindrome (12490322309421).

The spelling of 10140202105320 in words is "ten trillion, one hundred forty billion, two hundred two million, one hundred five thousand, three hundred twenty".