100011100101111 has 12 divisors (see below), whose sum is σ = 144464344193520. Its totient is φ = 66672282301920.

The previous prime is 100011100101103. The next prime is 100011100101131. The reversal of 100011100101111 is 111101001110001.

It is not a de Polignac number, because 100011100101111 - 2³ = 100011100101103 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 = 100011100101093 and 100011100101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011100101131) 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, 148347675 + ... + 149020316.

It is an arithmetic number, because the mean of its divisors is an integer number (12038695349460).

Almost surely, 2^{100011100101111} is an apocalyptic number.

100011100101111 is a deficient number, since it is larger than the sum of its proper divisors (44453244092409).

100011100101111 is a wasteful number, since it uses less digits than its factorization.

100011100101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297405366 (or 297405363 counting only the distinct ones).

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

Adding to 100011100101111 its reverse (111101001110001), we get a palindrome (211112101211112).

The spelling of 100011100101111 in words is "one hundred trillion, eleven billion, one hundred million, one hundred one thousand, one hundred eleven".