100105111101101 has 16 divisors (see below), whose sum is σ = 103756175336880. Its totient is φ = 96503850800640.

The previous prime is 100105111101041. The next prime is 100105111101103. The reversal of 100105111101101 is 101101111501001.

It can be written as a sum of positive squares in 8 ways, for example, as 2873875953001 + 97231235148100 = 1695251^2 + 9860590^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105111101101 - 2³⁸ = 99830233194157 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 (100105111101103) 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, 199306055 + ... + 199807691.

It is an arithmetic number, because the mean of its divisors is an integer number (6484760958555).

Almost surely, 2^{100105111101101} is an apocalyptic number.

It is an amenable number.

100105111101101 is a deficient number, since it is larger than the sum of its proper divisors (3651064235779).

100105111101101 is a wasteful number, since it uses less digits than its factorization.

100105111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551264.

The product of its (nonzero) digits is 5, while the sum is 14.

Adding to 100105111101101 its reverse (101101111501001), we get a palindrome (201206222602102).

The spelling of 100105111101101 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, one hundred one thousand, one hundred one".