105000001101101 has 8 divisors (see below), whose sum is σ = 105580593946464. Its totient is φ = 104419413556560.

The previous prime is 105000001101097. The next prime is 105000001101109. The reversal of 105000001101101 is 101101100000501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105000001101101 - 2² = 105000001101097 is a prime.

It is a super-2 number, since 2×105000001101101² (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 (105000001101109) 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, 42373370 + ... + 44782836.

It is an arithmetic number, because the mean of its divisors is an integer number (13197574243308).

Almost surely, 2^{105000001101101} is an apocalyptic number.

It is an amenable number.

105000001101101 is a deficient number, since it is larger than the sum of its proper divisors (580592845363).

105000001101101 is a wasteful number, since it uses less digits than its factorization.

105000001101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650411.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 105000001101101 its reverse (101101100000501), we get a palindrome (206101101101602).

The spelling of 105000001101101 in words is "one hundred five trillion, one million, one hundred one thousand, one hundred one".