10001412340101 has 160 divisors (see below), whose sum is σ = 19255540254720. Its totient is φ = 5028247103616.

The previous prime is 10001412340091. The next prime is 10001412340121. The reversal of 10001412340101 is 10104321410001.

10001412340101 is a `hidden beast` number, since 100 + 0 + 141 + 23 + 401 + 0 + 1 = 666.

It is not a de Polignac number, because 10001412340101 - 2³¹ = 9999264856453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001412340121) 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 159 ways as a sum of consecutive naturals, for example, 47873610 + ... + 48082068.

It is an arithmetic number, because the mean of its divisors is an integer number (120347126592).

Almost surely, 2^{10001412340101} is an apocalyptic number.

It is an amenable number.

10001412340101 is a deficient number, since it is larger than the sum of its proper divisors (9254127914619).

10001412340101 is a wasteful number, since it uses less digits than its factorization.

10001412340101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208797 (or 208788 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10001412340101 its reverse (10104321410001), we get a palindrome (20105733750102).

The spelling of 10001412340101 in words is "ten trillion, one billion, four hundred twelve million, three hundred forty thousand, one hundred one".