100111000101 has 16 divisors (see below), whose sum is σ = 152952614400. Its totient is φ = 57055341168.

The previous prime is 100111000097. The next prime is 100111000109. The reversal of 100111000101 is 101000111001.

It is not a de Polignac number, because 100111000101 - 2² = 100111000097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6281211 + ... + 6297128.

It is an arithmetic number, because the mean of its divisors is an integer number (9559538400).

Almost surely, 2^100111000101 is an apocalyptic number.

It is an amenable number.

100111000101 is a deficient number, since it is larger than the sum of its proper divisors (52841614299).

100111000101 is a wasteful number, since it uses less digits than its factorization.

100111000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12578728.

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

Adding to 100111000101 its reverse (101000111001), we get a palindrome (201111111102).

The spelling of 100111000101 in words is "one hundred billion, one hundred eleven million, one hundred one", and thus it is an aban number.