101101110002111 has 16 divisors (see below), whose sum is σ = 102841903756800. Its totient is φ = 99361227868128.

The previous prime is 101101110002089. The next prime is 101101110002129. The reversal of 101101110002111 is 111200011101101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101110002111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101110002092 and 101101110002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101110002911) 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, 5218650821 + ... + 5218670193.

It is an arithmetic number, because the mean of its divisors is an integer number (6427618984800).

Almost surely, 2^{101101110002111} is an apocalyptic number.

101101110002111 is a deficient number, since it is larger than the sum of its proper divisors (1740793754689).

101101110002111 is a wasteful number, since it uses less digits than its factorization.

101101110002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38278.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101101110002111 its reverse (111200011101101), we get a palindrome (212301121103212).

The spelling of 101101110002111 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, two thousand, one hundred eleven".