10200544311340 has 144 divisors (see below), whose sum is σ = 22893324525792. Its totient is φ = 3816467094528.

The previous prime is 10200544311337. The next prime is 10200544311343. The reversal of 10200544311340 is 4311344500201.

It is an interprime number because it is at equal distance from previous prime (10200544311337) and next prime (10200544311343).

It is a super-2 number, since 2×10200544311340² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10200544311299 and 10200544311308.

It is not an unprimeable number, because it can be changed into a prime (10200544311343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97061302 + ... + 97166338.

It is an arithmetic number, because the mean of its divisors is an integer number (158981420318).

Almost surely, 2^{10200544311340} is an apocalyptic number.

10200544311340 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 10200544311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11446662262896).

10200544311340 is an abundant number, since it is smaller than the sum of its proper divisors (12692780214452).

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

10200544311340 is a wasteful number, since it uses less digits than its factorization.

10200544311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105296 (or 105271 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 10200544311340 its reverse (4311344500201), we get a palindrome (14511888811541).

The spelling of 10200544311340 in words is "ten trillion, two hundred billion, five hundred forty-four million, three hundred eleven thousand, three hundred forty".