10610506011001 has 16 divisors (see below), whose sum is σ = 11459015479296. Its totient is φ = 9766624303296.

The previous prime is 10610506010971. The next prime is 10610506011013. The reversal of 10610506011001 is 10011060501601.

10610506011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10610506011001 - 2¹³ = 10610506002809 is a prime.

It is a super-2 number, since 2×10610506011001² (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 (10610506011901) 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, 22988571 + ... + 23445583.

It is an arithmetic number, because the mean of its divisors is an integer number (716188467456).

Almost surely, 2^{10610506011001} is an apocalyptic number.

It is an amenable number.

10610506011001 is a deficient number, since it is larger than the sum of its proper divisors (848509468295).

10610506011001 is a wasteful number, since it uses less digits than its factorization.

10610506011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462072.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 10610506011001 its reverse (10011060501601), we get a palindrome (20621566512602).

The spelling of 10610506011001 in words is "ten trillion, six hundred ten billion, five hundred six million, eleven thousand, one".