100010110010101 has 16 divisors (see below), whose sum is σ = 109463136583680. Its totient is φ = 90962324087040.

The previous prime is 100010110010087. The next prime is 100010110010117. The reversal of 100010110010101 is 101010011010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100010110010101 - 2³⁹ = 99460354196213 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 (100010110010801) 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, 133457461 + ... + 134204746.

It is an arithmetic number, because the mean of its divisors is an integer number (6841446036480).

Almost surely, 2^{100010110010101} is an apocalyptic number.

It is an amenable number.

100010110010101 is a deficient number, since it is larger than the sum of its proper divisors (9453026573579).

100010110010101 is a wasteful number, since it uses less digits than its factorization.

100010110010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267662964.

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

Adding to 100010110010101 its reverse (101010011010001), we get a palindrome (201020121020102).

The spelling of 100010110010101 in words is "one hundred trillion, ten billion, one hundred ten million, ten thousand, one hundred one".