100002102111101 has 16 divisors (see below), whose sum is σ = 101793460769280. Its totient is φ = 98213992096560.

The previous prime is 100002102111011. The next prime is 100002102111151. The reversal of 100002102111101 is 101111201200001.

It is not a de Polignac number, because 100002102111101 - 2²² = 100002097916797 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 (100002102111151) 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, 336818846 + ... + 337115616.

It is an arithmetic number, because the mean of its divisors is an integer number (6362091298080).

Almost surely, 2^{100002102111101} is an apocalyptic number.

It is an amenable number.

100002102111101 is a deficient number, since it is larger than the sum of its proper divisors (1791358658179).

100002102111101 is a wasteful number, since it uses less digits than its factorization.

100002102111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302224.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100002102111101 its reverse (101111201200001), we get a palindrome (201113303311102).

The spelling of 100002102111101 in words is "one hundred trillion, two billion, one hundred two million, one hundred eleven thousand, one hundred one".