10007135807101 has 4 divisors (see below), whose sum is σ = 10014456317472. Its totient is φ = 9999815296732.

The previous prime is 10007135807089. The next prime is 10007135807161. The reversal of 10007135807101 is 10170853170001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10007135807101 - 2¹³ = 10007135798909 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 (10007135807161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3660253135 + ... + 3660255868.

It is an arithmetic number, because the mean of its divisors is an integer number (2503614079368).

Almost surely, 2^{10007135807101} is an apocalyptic number.

It is an amenable number.

10007135807101 is a deficient number, since it is larger than the sum of its proper divisors (7320510371).

10007135807101 is an equidigital number, since it uses as much as digits as its factorization.

10007135807101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320510370.

The product of its (nonzero) digits is 5880, while the sum is 34.

Adding to 10007135807101 its reverse (10170853170001), we get a palindrome (20177988977102).

The spelling of 10007135807101 in words is "ten trillion, seven billion, one hundred thirty-five million, eight hundred seven thousand, one hundred one".