100110010000101 has 16 divisors (see below), whose sum is σ = 142071735794688. Its totient is φ = 62485254156800.

The previous prime is 100110010000061. The next prime is 100110010000157. The reversal of 100110010000101 is 101000010011001.

It is a cyclic number.

It is not a de Polignac number, because 100110010000101 - 2¹⁵ = 100110009967333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110010000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110010020101) 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, 5138580240 + ... + 5138599721.

It is an arithmetic number, because the mean of its divisors is an integer number (8879483487168).

Almost surely, 2^{100110010000101} is an apocalyptic number.

It is an amenable number.

100110010000101 is a deficient number, since it is larger than the sum of its proper divisors (41961725794587).

100110010000101 is a wasteful number, since it uses less digits than its factorization.

100110010000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10277180172.

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

Adding to 100110010000101 its reverse (101000010011001), we get a palindrome (201110020011102).

The spelling of 100110010000101 in words is "one hundred trillion, one hundred ten billion, ten million, one hundred one", and thus it is an aban number.