10010605105101 has 8 divisors (see below), whose sum is σ = 13348611315424. Its totient is φ = 6673167815760.

The previous prime is 10010605105073. The next prime is 10010605105153. The reversal of 10010605105101 is 10150150601001.

It is a happy number.

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

It is not a de Polignac number, because 10010605105101 - 2⁹ = 10010605104589 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 (10010605105001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142189186 + ... + 142259571.

It is an arithmetic number, because the mean of its divisors is an integer number (1668576414428).

Almost surely, 2^{10010605105101} is an apocalyptic number.

It is an amenable number.

10010605105101 is a deficient number, since it is larger than the sum of its proper divisors (3338006210323).

10010605105101 is a wasteful number, since it uses less digits than its factorization.

10010605105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284460491.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 10010605105101 its reverse (10150150601001), we get a palindrome (20160755706102).

The spelling of 10010605105101 in words is "ten trillion, ten billion, six hundred five million, one hundred five thousand, one hundred one".