1011101100006 has 32 divisors (see below), whose sum is σ = 2024181871488. Its totient is φ = 336703864640.

The previous prime is 1011101100001. The next prime is 1011101100007. The reversal of 1011101100006 is 6000011011101.

It is a junction number, because it is equal to n+sod(n) for n = 1011101099964 and 1011101100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011101100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52036465 + ... + 52055891.

It is an arithmetic number, because the mean of its divisors is an integer number (63255683484).

Almost surely, 2^{1011101100006} is an apocalyptic number.

1011101100006 is an abundant number, since it is smaller than the sum of its proper divisors (1013080771482).

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

1011101100006 is a wasteful number, since it uses less digits than its factorization.

1011101100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27476.

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

Adding to 1011101100006 its reverse (6000011011101), we get a palindrome (7011112111107).

The spelling of 1011101100006 in words is "one trillion, eleven billion, one hundred one million, one hundred thousand, six".