101010100101111 has 96 divisors (see below), whose sum is σ = 161498239344000. Its totient is φ = 60512287064064.

The previous prime is 101010100101089. The next prime is 101010100101149. The reversal of 101010100101111 is 111101001010101.

It is not a de Polignac number, because 101010100101111 - 2⁹ = 101010100100599 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 = 101010100101093 and 101010100101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010100101011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4606222795 + ... + 4606244723.

It is an arithmetic number, because the mean of its divisors is an integer number (1682273326500).

Almost surely, 2^{101010100101111} is an apocalyptic number.

101010100101111 is a deficient number, since it is larger than the sum of its proper divisors (60488139242889).

101010100101111 is a wasteful number, since it uses less digits than its factorization.

101010100101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24313 (or 24310 counting only the distinct ones).

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

Adding to 101010100101111 its reverse (111101001010101), we get a palindrome (212111101111212).

The spelling of 101010100101111 in words is "one hundred one trillion, ten billion, one hundred million, one hundred one thousand, one hundred eleven".