101100010101111 has 24 divisors (see below), whose sum is σ = 169245892168704. Its totient is φ = 56957752167120.

The previous prime is 101100010101107. The next prime is 101100010101151. The reversal of 101100010101111 is 111101010001101.

It is not a de Polignac number, because 101100010101111 - 2² = 101100010101107 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 = 101100010101093 and 101100010101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100010101151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11301136831 + ... + 11301145776.

It is an arithmetic number, because the mean of its divisors is an integer number (7051912173696).

Almost surely, 2^{101100010101111} is an apocalyptic number.

101100010101111 is a deficient number, since it is larger than the sum of its proper divisors (68145882067593).

101100010101111 is a wasteful number, since it uses less digits than its factorization.

101100010101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22602282691 (or 22602282688 counting only the distinct ones).

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

Adding to 101100010101111 its reverse (111101010001101), we get a palindrome (212201020102212).

The spelling of 101100010101111 in words is "one hundred one trillion, one hundred billion, ten million, one hundred one thousand, one hundred eleven".