101101111101111 has 128 divisors (see below), whose sum is σ = 156949476139008. Its totient is φ = 57288545600000.

The previous prime is 101101111101097. The next prime is 101101111101121. The reversal of 101101111101111 is 111101111101101.

It is not a de Polignac number, because 101101111101111 - 2¹⁵ = 101101111068343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101111101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10263025336 + ... + 10263035186.

It is an arithmetic number, because the mean of its divisors is an integer number (1226167782336).

Almost surely, 2^{101101111101111} is an apocalyptic number.

101101111101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101111101111 is a deficient number, since it is larger than the sum of its proper divisors (55848365037897).

101101111101111 is a wasteful number, since it uses less digits than its factorization.

101101111101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11685.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101101111101111 its reverse (111101111101101), we get a palindrome (212202222202212).

It can be divided in two parts, 101101 and 111101111, that multiplied together give a palindrome (11232433423211).

The spelling of 101101111101111 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred eleven".