101101100106 has 16 divisors (see below), whose sum is σ = 202557571200. Its totient is φ = 33641138208.

The previous prime is 101101100083. The next prime is 101101100153. The reversal of 101101100106 is 601001101101.

It is a super-2 number, since 2×101101100106² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101101100091 and 101101100100.

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, 14803426 + ... + 14810253.

It is an arithmetic number, because the mean of its divisors is an integer number (12659848200).

Almost surely, 2^101101100106 is an apocalyptic number.

101101100106 is an abundant number, since it is smaller than the sum of its proper divisors (101456471094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101100106 is a wasteful number, since it uses less digits than its factorization.

101101100106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29614253.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101101100106 its reverse (601001101101), we get a palindrome (702102201207).

The spelling of 101101100106 in words is "one hundred one billion, one hundred one million, one hundred thousand, one hundred six".