10241300624211 has 48 divisors (see below), whose sum is σ = 15679341849600. Its totient is φ = 6419280824064.

The previous prime is 10241300624189. The next prime is 10241300624239. The reversal of 10241300624211 is 11242600314201.

10241300624211 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 30 + 0 + 624 + 2 + 1 + 1 = 666.

It is not a de Polignac number, because 10241300624211 - 2¹⁹ = 10241300099923 is a prime.

It is a super-3 number, since 3×10241300624211³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10241300624111) by changing a digit.

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, 1058090070 + ... + 1058099748.

It is an arithmetic number, because the mean of its divisors is an integer number (326652955200).

Almost surely, 2^{10241300624211} is an apocalyptic number.

10241300624211 is a deficient number, since it is larger than the sum of its proper divisors (5438041225389).

10241300624211 is a wasteful number, since it uses less digits than its factorization.

10241300624211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16128 (or 16125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10241300624211 its reverse (11242600314201), we get a palindrome (21483900938412).

The spelling of 10241300624211 in words is "ten trillion, two hundred forty-one billion, three hundred million, six hundred twenty-four thousand, two hundred eleven".