100100100000101 has 16 divisors (see below), whose sum is σ = 104222733081600. Its totient is φ = 96066645667200.

The previous prime is 100100100000097. The next prime is 100100100000137. The reversal of 100100100000101 is 101000001001001.

It is a cyclic number.

It is not a de Polignac number, because 100100100000101 - 2² = 100100100000097 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 (100100100000601) 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, 56141846 + ... + 57897383.

It is an arithmetic number, because the mean of its divisors is an integer number (6513920817600).

Almost surely, 2^{100100100000101} is an apocalyptic number.

It is an amenable number.

100100100000101 is a deficient number, since it is larger than the sum of its proper divisors (4122633081499).

100100100000101 is a wasteful number, since it uses less digits than its factorization.

100100100000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114039620.

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

Adding to 100100100000101 its reverse (101000001001001), we get a palindrome (201100101001102).

The spelling of 100100100000101 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred one", and thus it is an aban number.