101111000101101 has 24 divisors (see below), whose sum is σ = 146193779888000. Its totient is φ = 67340618099712.

The previous prime is 101111000101009. The next prime is 101111000101103. The reversal of 101111000101101 is 101101000111101.

It is not a de Polignac number, because 101111000101101 - 2¹³ = 101111000092909 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111000101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400648365 + ... + 400900653.

Almost surely, 2^{101111000101101} is an apocalyptic number.

It is an amenable number.

101111000101101 is a deficient number, since it is larger than the sum of its proper divisors (45082779786899).

101111000101101 is a wasteful number, since it uses less digits than its factorization.

101111000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296193 (or 296190 counting only the distinct ones).

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

Adding to 101111000101101 its reverse (101101000111101), we get a palindrome (202212000212202).

It can be divided in two parts, 101111000 and 101101, that added together give a palindrome (101212101).

The spelling of 101111000101101 in words is "one hundred one trillion, one hundred eleven billion, one hundred one thousand, one hundred one".