100111100101101 has 24 divisors (see below), whose sum is σ = 157853326569120. Its totient is φ = 63228063218832.

The previous prime is 100111100101039. The next prime is 100111100101127. The reversal of 100111100101101 is 101101001111001.

It is not a de Polignac number, because 100111100101101 - 2¹⁷ = 100111099970029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111100101601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10841570010 + ... + 10841579243.

It is an arithmetic number, because the mean of its divisors is an integer number (6577221940380).

Almost surely, 2^{100111100101101} is an apocalyptic number.

It is an amenable number.

100111100101101 is a deficient number, since it is larger than the sum of its proper divisors (57742226468019).

100111100101101 is an equidigital number, since it uses as much as digits as its factorization.

100111100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21683149287 (or 21683149275 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111100101101 its reverse (101101001111001), we get a palindrome (201212101212102).

The spelling of 100111100101101 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one hundred one".