100180100101111 has 16 divisors (see below), whose sum is σ = 105092969656320. Its totient is φ = 95383938402720.

The previous prime is 100180100101091. The next prime is 100180100101127. The reversal of 100180100101111 is 111101001081001.

It is a cyclic number.

It is not a de Polignac number, because 100180100101111 - 2¹⁵ = 100180100068343 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 (100180100101171) 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, 6850330 + ... + 15725368.

It is an arithmetic number, because the mean of its divisors is an integer number (6568310603520).

Almost surely, 2^{100180100101111} is an apocalyptic number.

100180100101111 is a deficient number, since it is larger than the sum of its proper divisors (4912869555209).

100180100101111 is an equidigital number, since it uses as much as digits as its factorization.

100180100101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881614.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 100180100101111 its reverse (111101001081001), we get a palindrome (211281101182112).

The spelling of 100180100101111 in words is "one hundred trillion, one hundred eighty billion, one hundred million, one hundred one thousand, one hundred eleven".