101100001101111 has 12 divisors (see below), whose sum is σ = 148788680866488. Its totient is φ = 66128302606704.

The previous prime is 101100001101107. The next prime is 101100001101119. The reversal of 101100001101111 is 111101100001101.

It is not a de Polignac number, because 101100001101111 - 2² = 101100001101107 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101100001101093 and 101100001101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100001101119) 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, 105974843445 + ... + 105974844398.

It is an arithmetic number, because the mean of its divisors is an integer number (12399056738874).

Almost surely, 2^{101100001101111} is an apocalyptic number.

101100001101111 is a deficient number, since it is larger than the sum of its proper divisors (47688679765377).

101100001101111 is a wasteful number, since it uses less digits than its factorization.

101100001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211949687902 (or 211949687899 counting only the distinct ones).

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

Adding to 101100001101111 its reverse (111101100001101), we get a palindrome (212201101102212).

It can be divided in two parts, 101100001101 and 111, that multiplied together give a palindrome (11222100122211).

The spelling of 101100001101111 in words is "one hundred one trillion, one hundred billion, one million, one hundred one thousand, one hundred eleven".