100101101101111 has 8 divisors (see below), whose sum is σ = 109314129032064. Its totient is φ = 90906894475320.

The previous prime is 100101101101109. The next prime is 100101101101139. The reversal of 100101101101111 is 111101101101001.

It is a happy number.

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

It is not a de Polignac number, because 100101101101111 - 2¹ = 100101101101109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101102101111) 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, 4705315165 + ... + 4705336438.

It is an arithmetic number, because the mean of its divisors is an integer number (13664266129008).

Almost surely, 2^{100101101101111} is an apocalyptic number.

100101101101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101101101111 is a deficient number, since it is larger than the sum of its proper divisors (9213027930953).

100101101101111 is an equidigital number, since it uses as much as digits as its factorization.

100101101101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410652581.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100101101101111 its reverse (111101101101001), we get a palindrome (211202202202112).

The spelling of 100101101101111 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred eleven".