1011000110106 has 32 divisors (see below), whose sum is σ = 2312087408640. Its totient is φ = 288703422576.

The previous prime is 1011000110101. The next prime is 1011000110119. The reversal of 1011000110106 is 6010110001101.

1011000110106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1011000110091 and 1011000110100.

It is not an unprimeable number, because it can be changed into a prime (1011000110101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6326466 + ... + 6484301.

It is an arithmetic number, because the mean of its divisors is an integer number (72252731520).

Almost surely, 2^{1011000110106} is an apocalyptic number.

1011000110106 is an abundant number, since it is smaller than the sum of its proper divisors (1301087298534).

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

1011000110106 is a wasteful number, since it uses less digits than its factorization.

1011000110106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812658.

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

Adding to 1011000110106 its reverse (6010110001101), we get a palindrome (7021110111207).

The spelling of 1011000110106 in words is "one trillion, eleven billion, one hundred ten thousand, one hundred six".