101010001011106 has 12 divisors (see below), whose sum is σ = 166541282659206. Its totient is φ = 45913636823120.

The previous prime is 101010001010981. The next prime is 101010001011107. The reversal of 101010001011106 is 601110100010101.

It can be written as a sum of positive squares in only one way, i.e., 97701185440881 + 3308815570225 = 9884391^2 + 1819015^2 .

It is not an unprimeable number, because it can be changed into a prime (101010001011107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208698348955 + ... + 208698349438.

Almost surely, 2^{101010001011106} is an apocalyptic number.

101010001011106 is a deficient number, since it is larger than the sum of its proper divisors (65531281648100).

101010001011106 is a wasteful number, since it uses less digits than its factorization.

101010001011106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417396698417 (or 417396698406 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101010001011106 its reverse (601110100010101), we get a palindrome (702120101021207).

The spelling of 101010001011106 in words is "one hundred one trillion, ten billion, one million, eleven thousand, one hundred six".