10201411410201 has 48 divisors (see below), whose sum is σ = 16353741680640. Its totient is φ = 6075527724000.

The previous prime is 10201411410191. The next prime is 10201411410241.

10201411410201 is a `hidden beast` number, since 10 + 2 + 0 + 1 + 41 + 1 + 410 + 201 = 666.

10201411410201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10201411410201 - 2¹⁸ = 10201411148057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201411410241) 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 47 ways as a sum of consecutive naturals, for example, 14796996 + ... + 15471066.

It is an arithmetic number, because the mean of its divisors is an integer number (340702951680).

Almost surely, 2^{10201411410201} is an apocalyptic number.

10201411410201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201411410201 is a deficient number, since it is larger than the sum of its proper divisors (6152330270439).

10201411410201 is a wasteful number, since it uses less digits than its factorization.

10201411410201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676738 (or 676735 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1020141 and 1410201, that added together give a palindrome (2430342).

The spelling of 10201411410201 in words is "ten trillion, two hundred one billion, four hundred eleven million, four hundred ten thousand, two hundred one".