101106111005 has 8 divisors (see below), whose sum is σ = 121337475000. Its totient is φ = 80878127616.

The previous prime is 101106110983. The next prime is 101106111037. The reversal of 101106111005 is 500111601101.

It can be written as a sum of positive squares in 4 ways, for example, as 46930289956 + 54175821049 = 216634^2 + 232757^2 .

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 101106111005 - 2¹⁰ = 101106109981 is a prime.

It is a super-2 number, since 2×101106111005² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778880 + ... + 899369.

It is an arithmetic number, because the mean of its divisors is an integer number (15167184375).

Almost surely, 2^101106111005 is an apocalyptic number.

It is an amenable number.

101106111005 is a deficient number, since it is larger than the sum of its proper divisors (20231363995).

101106111005 is a wasteful number, since it uses less digits than its factorization.

101106111005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690303.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 101106111005 its reverse (500111601101), we get a palindrome (601217712106).

The spelling of 101106111005 in words is "one hundred one billion, one hundred six million, one hundred eleven thousand, five".