100011110101 has 32 divisors (see below), whose sum is σ = 120028953600. Its totient is φ = 81520508160.

The previous prime is 100011110093. The next prime is 100011110113. The reversal of 100011110101 is 101011110001.

It is a happy number.

It is not a de Polignac number, because 100011110101 - 2³ = 100011110093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011110131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6744171 + ... + 6758983.

It is an arithmetic number, because the mean of its divisors is an integer number (3750904800).

Almost surely, 2^100011110101 is an apocalyptic number.

It is an amenable number.

100011110101 is a deficient number, since it is larger than the sum of its proper divisors (20017843499).

100011110101 is a wasteful number, since it uses less digits than its factorization.

100011110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15349.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100011110101 its reverse (101011110001), we get a palindrome (201022220102).

The spelling of 100011110101 in words is "one hundred billion, eleven million, one hundred ten thousand, one hundred one".