10105105010601 has 16 divisors (see below), whose sum is σ = 13787367587840. Its totient is φ = 6579802227600.

The previous prime is 10105105010591. The next prime is 10105105010653. The reversal of 10105105010601 is 10601050150101.

It is a happy number.

10105105010601 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 10105105010601 - 2¹³ = 10105105002409 is a prime.

It is a super-2 number, since 2×10105105010601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105105010101) 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, 1642776 + ... + 4786326.

It is an arithmetic number, because the mean of its divisors is an integer number (861710474240).

Almost surely, 2^{10105105010601} is an apocalyptic number.

It is an amenable number.

10105105010601 is a deficient number, since it is larger than the sum of its proper divisors (3682262577239).

10105105010601 is a wasteful number, since it uses less digits than its factorization.

10105105010601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168516.

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

Adding to 10105105010601 its reverse (10601050150101), we get a palindrome (20706155160702).

The spelling of 10105105010601 in words is "ten trillion, one hundred five billion, one hundred five million, ten thousand, six hundred one".