10185411458101 has 32 divisors (see below), whose sum is σ = 11256788785536. Its totient is φ = 9138898080000.

The previous prime is 10185411458099. The next prime is 10185411458107.

10185411458101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10185411458101 - 2¹ = 10185411458099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10185411458107) 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 31 ways as a sum of consecutive naturals, for example, 461055066 + ... + 461077156.

It is an arithmetic number, because the mean of its divisors is an integer number (351774649548).

Almost surely, 2^{10185411458101} is an apocalyptic number.

10185411458101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10185411458101 is a deficient number, since it is larger than the sum of its proper divisors (1071377327435).

10185411458101 is a wasteful number, since it uses less digits than its factorization.

10185411458101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23493.

The product of its (nonzero) digits is 25600, while the sum is 40.

The spelling of 10185411458101 in words is "ten trillion, one hundred eighty-five billion, four hundred eleven million, four hundred fifty-eight thousand, one hundred one".