10101110105 has 8 divisors (see below), whose sum is σ = 12122582472. Its totient is φ = 8080054528.

The previous prime is 10101110093. The next prime is 10101110161. The reversal of 10101110105 is 50101110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3788648704 + 6312461401 = 61552^2 + 79451^2 .

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 10101110105 - 2⁸ = 10101109849 is a prime.

It is a super-2 number, since 2×10101110105² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon 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, 48134 + ... + 150063.

It is an arithmetic number, because the mean of its divisors is an integer number (1515322809).

Almost surely, 2^10101110105 is an apocalyptic number.

It is an amenable number.

10101110105 is a deficient number, since it is larger than the sum of its proper divisors (2021472367).

10101110105 is a wasteful number, since it uses less digits than its factorization.

10101110105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208395.

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

Adding to 10101110105 its reverse (50101110101), we get a palindrome (60202220206).

The spelling of 10101110105 in words is "ten billion, one hundred one million, one hundred ten thousand, one hundred five".