10005506110101 has 16 divisors (see below), whose sum is σ = 14244441463296. Its totient is φ = 6231943136496.

The previous prime is 10005506110073. The next prime is 10005506110111. The reversal of 10005506110101 is 10101160550001.

It is a happy number.

It is not a de Polignac number, because 10005506110101 - 2¹⁴ = 10005506093717 is a prime.

It is a super-2 number, since 2×10005506110101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005506110111) 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, 1686128835 + ... + 1686134768.

It is an arithmetic number, because the mean of its divisors is an integer number (890277591456).

Almost surely, 2^{10005506110101} is an apocalyptic number.

It is an amenable number.

10005506110101 is a deficient number, since it is larger than the sum of its proper divisors (4238935353195).

10005506110101 is a wasteful number, since it uses less digits than its factorization.

10005506110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372263672.

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

Adding to 10005506110101 its reverse (10101160550001), we get a palindrome (20106666660102).

The spelling of 10005506110101 in words is "ten trillion, five billion, five hundred six million, one hundred ten thousand, one hundred one".