100110000101 has 12 divisors (see below), whose sum is σ = 103970224800. Its totient is φ = 96388398288.

The previous prime is 100110000097. The next prime is 100110000173. The reversal of 100110000101 is 101000011001.

It is not a de Polignac number, because 100110000101 - 2² = 100110000097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110030101) 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, 136130 + ... + 467708.

It is an arithmetic number, because the mean of its divisors is an integer number (8664185400).

Almost surely, 2^100110000101 is an apocalyptic number.

It is an amenable number.

100110000101 is a deficient number, since it is larger than the sum of its proper divisors (3860224699).

100110000101 is an equidigital number, since it uses as much as digits as its factorization.

100110000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331996 (or 331967 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100110000101 its reverse (101000011001), we get a palindrome (201110011102).

The spelling of 100110000101 in words is "one hundred billion, one hundred ten million, one hundred one", and thus it is an aban number.