100010110101 has 32 divisors (see below), whose sum is σ = 157303461888. Its totient is φ = 55832989440.

The previous prime is 100010110097. The next prime is 100010110127. The reversal of 100010110101 is 101011010001.

It is not a de Polignac number, because 100010110101 - 2² = 100010110097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100010110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010110601) 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, 1870135 + ... + 1922868.

It is an arithmetic number, because the mean of its divisors is an integer number (4915733184).

Almost surely, 2^100010110101 is an apocalyptic number.

100010110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010110101 is a deficient number, since it is larger than the sum of its proper divisors (57293351787).

100010110101 is a wasteful number, since it uses less digits than its factorization.

100010110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793081.

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

Adding to 100010110101 its reverse (101011010001), we get a palindrome (201021120102).

It can be divided in two parts, 1000 and 10110101, that added together give a palindrome (10111101).

The spelling of 100010110101 in words is "one hundred billion, ten million, one hundred ten thousand, one hundred one".