100011100101 has 16 divisors (see below), whose sum is σ = 145487129088. Its totient is φ = 60605938800.

The previous prime is 100011100099. The next prime is 100011100103. The reversal of 100011100101 is 101001110001.

It is an interprime number because it is at equal distance from previous prime (100011100099) and next prime (100011100103).

It is not a de Polignac number, because 100011100101 - 2¹ = 100011100099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011100103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133320 + ... + 466686.

It is an arithmetic number, because the mean of its divisors is an integer number (9092945568).

Almost surely, 2^100011100101 is an apocalyptic number.

100011100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011100101 is a deficient number, since it is larger than the sum of its proper divisors (45476028987).

100011100101 is a wasteful number, since it uses less digits than its factorization.

100011100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342472.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100011100101 its reverse (101001110001), we get a palindrome (201012210102).

The spelling of 100011100101 in words is "one hundred billion, eleven million, one hundred thousand, one hundred one".