100001101111101 has 12 divisors (see below), whose sum is σ = 144599537644380. Its totient is φ = 66596553337920.

The previous prime is 100001101111097. The next prime is 100001101111127. The reversal of 100001101111101 is 101111101100001.

It can be written as a sum of positive squares in 2 ways, for example, as 57641895635076 + 42359205476025 = 7592226^2 + 6508395^2 .

It is not a de Polignac number, because 100001101111101 - 2² = 100001101111097 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001101111801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5903941296 + ... + 5903958233.

It is an arithmetic number, because the mean of its divisors is an integer number (12049961470365).

Almost surely, 2^{100001101111101} is an apocalyptic number.

It is an amenable number.

100001101111101 is a deficient number, since it is larger than the sum of its proper divisors (44598436533279).

100001101111101 is a wasteful number, since it uses less digits than its factorization.

100001101111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11807900476 (or 11807900473 counting only the distinct ones).

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

Adding to 100001101111101 its reverse (101111101100001), we get a palindrome (201112202211102).

It can be divided in two parts, 100001 and 101111101, that multiplied together give a palindrome (10111211211101).

The spelling of 100001101111101 in words is "one hundred trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred one".