100100000010101 has 16 divisors (see below), whose sum is σ = 123200302512000. Its totient is φ = 79199805544128.

The previous prime is 100100000010047. The next prime is 100100000010107. The reversal of 100100000010101 is 101010000001001.

It is a cyclic number.

It is not a de Polignac number, because 100100000010101 - 2⁶ = 100100000010037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100000010107) 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, 44375675 + ... + 46576823.

It is an arithmetic number, because the mean of its divisors is an integer number (7700018907000).

Almost surely, 2^{100100000010101} is an apocalyptic number.

It is an amenable number.

100100000010101 is a deficient number, since it is larger than the sum of its proper divisors (23100302501899).

100100000010101 is a wasteful number, since it uses less digits than its factorization.

100100000010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700908.

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

Adding to 100100000010101 its reverse (101010000001001), we get a palindrome (201110000011102).

The spelling of 100100000010101 in words is "one hundred trillion, one hundred billion, ten thousand, one hundred one".