100111011011101 has 128 divisors (see below), whose sum is σ = 114921367142400. Its totient is φ = 86708138065920.

The previous prime is 100111011011083. The next prime is 100111011011107. The reversal of 100111011011101 is 101110110111001.

It is a happy number.

It is not a de Polignac number, because 100111011011101 - 2⁹ = 100111011010589 is a prime.

It is a super-3 number, since 3×100111011011101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011011107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205566757480 + ... + 205566757966.

It is an arithmetic number, because the mean of its divisors is an integer number (897823180800).

Almost surely, 2^{100111011011101} is an apocalyptic number.

It is an amenable number.

100111011011101 is a deficient number, since it is larger than the sum of its proper divisors (14810356131299).

100111011011101 is a wasteful number, since it uses less digits than its factorization.

100111011011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307.

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

Adding to 100111011011101 its reverse (101110110111001), we get a palindrome (201221121122102).

The spelling of 100111011011101 in words is "one hundred trillion, one hundred eleven billion, eleven million, eleven thousand, one hundred one".