100111100001101 has 8 divisors (see below), whose sum is σ = 119387150312064. Its totient is φ = 82078665839280.

The previous prime is 100111100001097. The next prime is 100111100001131. The reversal of 100111100001101 is 101100001111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111100001101 - 2² = 100111100001097 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 (100111100001131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310904037110 + ... + 310904037431.

It is an arithmetic number, because the mean of its divisors is an integer number (14923393789008).

Almost surely, 2^{100111100001101} is an apocalyptic number.

It is an amenable number.

100111100001101 is a deficient number, since it is larger than the sum of its proper divisors (19276050310963).

100111100001101 is an equidigital number, since it uses as much as digits as its factorization.

100111100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621808074571.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111100001101 its reverse (101100001111001), we get a palindrome (201211101112102).

The spelling of 100111100001101 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one thousand, one hundred one".