100111110002101 has 32 divisors (see below), whose sum is σ = 115696017360000. Its totient is φ = 85612386170880.

The previous prime is 100111110002089. The next prime is 100111110002119. The reversal of 100111110002101 is 101200011111001.

It is a cyclic number.

It is not a de Polignac number, because 100111110002101 - 2³³ = 100102520067509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110002171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5068137241 + ... + 5068156993.

It is an arithmetic number, because the mean of its divisors is an integer number (3615500542500).

Almost surely, 2^{100111110002101} is an apocalyptic number.

100111110002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111110002101 is a deficient number, since it is larger than the sum of its proper divisors (15584907357899).

100111110002101 is a wasteful number, since it uses less digits than its factorization.

100111110002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32389.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100111110002101 its reverse (101200011111001), we get a palindrome (201311121113102).

The spelling of 100111110002101 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, two thousand, one hundred one".