101101101006 has 16 divisors (see below), whose sum is σ = 202840067664. Its totient is φ = 33594056064.

The previous prime is 101101100983. The next prime is 101101101007. The reversal of 101101101006 is 600101101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101100982 and 101101101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101101007) 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, 26575675 + ... + 26579478.

It is an arithmetic number, because the mean of its divisors is an integer number (12677504229).

Almost surely, 2^101101101006 is an apocalyptic number.

101101101006 is an abundant number, since it is smaller than the sum of its proper divisors (101738966658).

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

101101101006 is a wasteful number, since it uses less digits than its factorization.

101101101006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53155475.

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

Adding to 101101101006 its reverse (600101101101), we get a palindrome (701202202107).

The spelling of 101101101006 in words is "one hundred one billion, one hundred one million, one hundred one thousand, six".