100101010101111 has 48 divisors (see below), whose sum is σ = 146366424921600. Its totient is φ = 65919443904000.

The previous prime is 100101010101083. The next prime is 100101010101137. The reversal of 100101010101111 is 111101010101001.

It is not a de Polignac number, because 100101010101111 - 2⁶ = 100101010101047 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 = 100101010101093 and 100101010101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101010101611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886412931 + ... + 886525851.

It is an arithmetic number, because the mean of its divisors is an integer number (3049300519200).

Almost surely, 2^{100101010101111} is an apocalyptic number.

100101010101111 is a deficient number, since it is larger than the sum of its proper divisors (46265414820489).

100101010101111 is a wasteful number, since it uses less digits than its factorization.

100101010101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116728 (or 116725 counting only the distinct ones).

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

Adding to 100101010101111 its reverse (111101010101001), we get a palindrome (211202020202112).

The spelling of 100101010101111 in words is "one hundred trillion, one hundred one billion, ten million, one hundred one thousand, one hundred eleven".