10010061101005 has 24 divisors (see below), whose sum is σ = 14101422940440. Its totient is φ = 6801069018240.

The previous prime is 10010061100939. The next prime is 10010061101011. The reversal of 10010061101005 is 50010116001001.

10010061101005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2201155009641 + 7808906091364 = 1483629^2 + 2794442^2 .

It is not a de Polignac number, because 10010061101005 - 2³³ = 10001471166413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010061101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187392526 + ... + 187445935.

It is an arithmetic number, because the mean of its divisors is an integer number (587559289185).

Almost surely, 2^{10010061101005} is an apocalyptic number.

It is an amenable number.

10010061101005 is a deficient number, since it is larger than the sum of its proper divisors (4091361839435).

10010061101005 is a wasteful number, since it uses less digits than its factorization.

10010061101005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374838589 (or 374838582 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 10010061101005 its reverse (50010116001001), we get a palindrome (60020177102006).

The spelling of 10010061101005 in words is "ten trillion, ten billion, sixty-one million, one hundred one thousand, five".