105001005061101 has 8 divisors (see below), whose sum is σ = 140006512589344. Its totient is φ = 69998083786800.

The previous prime is 105001005061091. The next prime is 105001005061111. The reversal of 105001005061101 is 101160500100501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105001005061091) and next prime (105001005061111).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105001005061101 - 2¹⁸ = 105001004798957 is a prime.

It is a super-2 number, since 2×105001005061101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001005061111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646468750 + ... + 646631151.

It is an arithmetic number, because the mean of its divisors is an integer number (17500814073668).

Almost surely, 2^{105001005061101} is an apocalyptic number.

It is an amenable number.

105001005061101 is a deficient number, since it is larger than the sum of its proper divisors (35005507528243).

105001005061101 is a wasteful number, since it uses less digits than its factorization.

105001005061101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293126971.

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

Adding to 105001005061101 its reverse (101160500100501), we get a palindrome (206161505161602).

The spelling of 105001005061101 in words is "one hundred five trillion, one billion, five million, sixty-one thousand, one hundred one".