10110101101011 has 48 divisors (see below), whose sum is σ = 15527925806848. Its totient is φ = 6327524044800.

The previous prime is 10110101101003. The next prime is 10110101101021. The reversal of 10110101101011 is 11010110101101.

It is not a de Polignac number, because 10110101101011 - 2³ = 10110101101003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

10110101101011 is a modest number, since divided by 101101011 gives 1011 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10110101100984 and 10110101101002.

It is not an unprimeable number, because it can be changed into a prime (10110101101021) 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 47 ways as a sum of consecutive naturals, for example, 2025771 + ... + 4931931.

Almost surely, 2^{10110101101011} is an apocalyptic number.

10110101101011 is a deficient number, since it is larger than the sum of its proper divisors (5417824705837).

10110101101011 is a wasteful number, since it uses less digits than its factorization.

10110101101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906572 (or 2906569 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10110101101011 its reverse (11010110101101), we get a palindrome (21120211202112).

The spelling of 10110101101011 in words is "ten trillion, one hundred ten billion, one hundred one million, one hundred one thousand, eleven".