101110101101011 has 16 divisors (see below), whose sum is σ = 102538178810496. Its totient is φ = 99690422400000.

The previous prime is 101110101100969. The next prime is 101110101101017. The reversal of 101110101101011 is 110101101011101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110101101011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110101101017) 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, 1209973671 + ... + 1210057231.

It is an arithmetic number, because the mean of its divisors is an integer number (6408636175656).

Almost surely, 2^{101110101101011} is an apocalyptic number.

101110101101011 is a deficient number, since it is larger than the sum of its proper divisors (1428077709485).

101110101101011 is a wasteful number, since it uses less digits than its factorization.

101110101101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133614.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101110101101011 its reverse (110101101011101), we get a palindrome (211211202112112).

It can be divided in two parts, 101 and 110101101011, that multiplied together give a palindrome (11120211202111).

The spelling of 101110101101011 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, one hundred one thousand, eleven".