10211305344400 has 30 divisors (see below), whose sum is σ = 24532661090882. Its totient is φ = 4084522137600.

The previous prime is 10211305344377. The next prime is 10211305344407. The reversal of 10211305344400 is 444350311201.

It can be written as a sum of positive squares in 3 ways, for example, as 951139869696 + 9260165474704 = 975264^2 + 3043052^2 .

It is a super-2 number, since 2×10211305344400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211305344407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12764131281 + ... + 12764132080.

Almost surely, 2^{10211305344400} is an apocalyptic number.

10211305344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211305344400 is an abundant number, since it is smaller than the sum of its proper divisors (14321355746482).

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

10211305344400 is a wasteful number, since it uses less digits than its factorization.

10211305344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25528263379 (or 25528263368 counting only the distinct ones).

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

Adding to 10211305344400 its reverse (444350311201), we get a palindrome (10655655655601).

The spelling of 10211305344400 in words is "ten trillion, two hundred eleven billion, three hundred five million, three hundred forty-four thousand, four hundred".