10241411414201 has 16 divisors (see below), whose sum is σ = 11761797013440. Its totient is φ = 8819360896320.

The previous prime is 10241411414161. The next prime is 10241411414203.

10241411414201 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-10241411414201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10241411414203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896450 + ... + 4613723.

It is an arithmetic number, because the mean of its divisors is an integer number (735112313340).

Almost surely, 2^{10241411414201} is an apocalyptic number.

10241411414201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10241411414201 is a deficient number, since it is larger than the sum of its proper divisors (1520385599239).

10241411414201 is a wasteful number, since it uses less digits than its factorization.

10241411414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519096.

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 1024141 and 1414201, that added together give a palindrome (2438342).

The spelling of 10241411414201 in words is "ten trillion, two hundred forty-one billion, four hundred eleven million, four hundred fourteen thousand, two hundred one".