100101112111101 has 16 divisors (see below), whose sum is σ = 133924493848320. Its totient is φ = 66505905353280.

The previous prime is 100101112111087. The next prime is 100101112111141. The reversal of 100101112111101 is 101111211101001.

It is not a de Polignac number, because 100101112111101 - 2¹³ = 100101112102909 is a prime.

It is a super-2 number, since 2×100101112111101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101112111141) 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 15 ways as a sum of consecutive naturals, for example, 227433235 + ... + 227872943.

It is an arithmetic number, because the mean of its divisors is an integer number (8370280865520).

Almost surely, 2^{100101112111101} is an apocalyptic number.

It is an amenable number.

100101112111101 is a deficient number, since it is larger than the sum of its proper divisors (33823381737219).

100101112111101 is a wasteful number, since it uses less digits than its factorization.

100101112111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698996.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 100101112111101 its reverse (101111211101001), we get a palindrome (201212323212102).

The spelling of 100101112111101 in words is "one hundred trillion, one hundred one billion, one hundred twelve million, one hundred eleven thousand, one hundred one".