10105010601 has 16 divisors (see below), whose sum is σ = 16067595264. Its totient is φ = 5523235344.

The previous prime is 10105010561. The next prime is 10105010611. The reversal of 10105010601 is 10601050101.

10105010601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105010601 - 2¹³ = 10105002409 is a prime.

It is a super-2 number, since 2×10105010601² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105010611) 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 15 ways as a sum of consecutive naturals, for example, 10460191 + ... + 10461156.

It is an arithmetic number, because the mean of its divisors is an integer number (1004224704).

Almost surely, 2^10105010601 is an apocalyptic number.

It is an amenable number.

10105010601 is a deficient number, since it is larger than the sum of its proper divisors (5962584663).

10105010601 is a wasteful number, since it uses less digits than its factorization.

10105010601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20921380.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10105010601 its reverse (10601050101), we get a palindrome (20706060702).

The spelling of 10105010601 in words is "ten billion, one hundred five million, ten thousand, six hundred one".