101100100101111 has 16 divisors (see below), whose sum is σ = 149779036000000. Its totient is φ = 67399567268184.

The previous prime is 101100100101071. The next prime is 101100100101157. The reversal of 101100100101111 is 111101001001101.

It is not a de Polignac number, because 101100100101111 - 2¹⁵ = 101100100068343 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 junction number, because it is equal to n+sod(n) for n = 101100100101093 and 101100100101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100100101191) 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, 10144861 + ... + 17467638.

It is an arithmetic number, because the mean of its divisors is an integer number (9361189750000).

Almost surely, 2^{101100100101111} is an apocalyptic number.

101100100101111 is a deficient number, since it is larger than the sum of its proper divisors (48678935898889).

101100100101111 is a wasteful number, since it uses less digits than its factorization.

101100100101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27748115 (or 27748109 counting only the distinct ones).

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

Adding to 101100100101111 its reverse (111101001001101), we get a palindrome (212201101102212).

The spelling of 101100100101111 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred one thousand, one hundred eleven".