100111122001101 has 32 divisors (see below), whose sum is σ = 135756771494400. Its totient is φ = 65610656317440.

The previous prime is 100111122001091. The next prime is 100111122001123. The reversal of 100111122001101 is 101100221111001.

It is not a de Polignac number, because 100111122001101 - 2¹³ = 100111121992909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111122001141) 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 31 ways as a sum of consecutive naturals, for example, 138573145 + ... + 139293713.

It is an arithmetic number, because the mean of its divisors is an integer number (4242399109200).

Almost surely, 2^{100111122001101} is an apocalyptic number.

It is an amenable number.

100111122001101 is a deficient number, since it is larger than the sum of its proper divisors (35645649493299).

100111122001101 is a wasteful number, since it uses less digits than its factorization.

100111122001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723189.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111122001101 its reverse (101100221111001), we get a palindrome (201211343112102).

The spelling of 100111122001101 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, one thousand, one hundred one".