100111122212101 has 24 divisors (see below), whose sum is σ = 135433228284032. Its totient is φ = 72007999984800.

The previous prime is 100111122212081. The next prime is 100111122212197. The reversal of 100111122212101 is 101212221111001.

It is not a de Polignac number, because 100111122212101 - 2¹¹ = 100111122210053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111122212401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4545948585 + ... + 4545970606.

Almost surely, 2^{100111122212101} is an apocalyptic number.

100111122212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111122212101 is a deficient number, since it is larger than the sum of its proper divisors (35322106071931).

100111122212101 is a wasteful number, since it uses less digits than its factorization.

100111122212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091919233 (or 9091919222 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100111122212101 its reverse (101212221111001), we get a palindrome (201323343323102).

The spelling of 100111122212101 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, two hundred twelve thousand, one hundred one".