101111101101 has 12 divisors (see below), whose sum is σ = 146064803040. Its totient is φ = 67400277000.

The previous prime is 101111101079. The next prime is 101111101103. The reversal of 101111101101 is 101101111101.

It is not a de Polignac number, because 101111101101 - 2⁹ = 101111100589 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111101103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 503025 + ... + 674726.

It is an arithmetic number, because the mean of its divisors is an integer number (12172066920).

Almost surely, 2^101111101101 is an apocalyptic number.

It is an amenable number.

101111101101 is a deficient number, since it is larger than the sum of its proper divisors (44953701939).

101111101101 is a wasteful number, since it uses less digits than its factorization.

101111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187296 (or 1187293 counting only the distinct ones).

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

Adding to 101111101101 its reverse (101101111101), we get a palindrome (202212212202).

It can be divided in two parts, 101111101 and 101, that multiplied together give a palindrome (10212221201).

The spelling of 101111101101 in words is "one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred one".