101101000111111 has 32 divisors (see below), whose sum is σ = 136426131072000. Its totient is φ = 72354572801280.

The previous prime is 101101000111093. The next prime is 101101000111123. The reversal of 101101000111111 is 111111000101101.

It is a happy number.

It is not a de Polignac number, because 101101000111111 - 2²¹ = 101100998013959 is a prime.

101101000111111 is a modest number, since divided by 111111 gives 101101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000111211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253569646 + ... + 253968043.

It is an arithmetic number, because the mean of its divisors is an integer number (4263316596000).

Almost surely, 2^{101101000111111} is an apocalyptic number.

101101000111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101000111111 is a deficient number, since it is larger than the sum of its proper divisors (35325130960889).

101101000111111 is a wasteful number, since it uses less digits than its factorization.

101101000111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507537919.

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

Adding to 101101000111111 its reverse (111111000101101), we get a palindrome (212212000212212).

The spelling of 101101000111111 in words is "one hundred one trillion, one hundred one billion, one hundred eleven thousand, one hundred eleven".