10132414104101 has 8 divisors (see below), whose sum is σ = 10236237857664. Its totient is φ = 10028695173840.

The previous prime is 10132414104091. The next prime is 10132414104103. The reversal of 10132414104101 is 10140141423101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10132414104101 - 2⁴² = 5734367592997 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 (10132414104103) 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 7 ways as a sum of consecutive naturals, for example, 26011505 + ... + 26398166.

It is an arithmetic number, because the mean of its divisors is an integer number (1279529732208).

Almost surely, 2^{10132414104101} is an apocalyptic number.

It is an amenable number.

10132414104101 is a deficient number, since it is larger than the sum of its proper divisors (103823753563).

10132414104101 is a wasteful number, since it uses less digits than its factorization.

10132414104101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52411651.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 10132414104101 its reverse (10140141423101), we get a palindrome (20272555527202).

The spelling of 10132414104101 in words is "ten trillion, one hundred thirty-two billion, four hundred fourteen million, one hundred four thousand, one hundred one".