10414104101 has 16 divisors (see below), whose sum is σ = 11108378880. Its totient is φ = 9748872000.

The previous prime is 10414104083. The next prime is 10414104109. The reversal of 10414104101 is 10140141401.

It is a cyclic number.

It is not a de Polignac number, because 10414104101 - 2²⁶ = 10346995237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10414104101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414104109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51851 + ... + 153351.

It is an arithmetic number, because the mean of its divisors is an integer number (694273680).

Almost surely, 2^10414104101 is an apocalyptic number.

It is an amenable number.

10414104101 is a deficient number, since it is larger than the sum of its proper divisors (694274779).

10414104101 is a wasteful number, since it uses less digits than its factorization.

10414104101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101644.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10414104101 its reverse (10140141401), we get a palindrome (20554245502).

The spelling of 10414104101 in words is "ten billion, four hundred fourteen million, one hundred four thousand, one hundred one".