101112121111111 has 16 divisors (see below), whose sum is σ = 111687104544768. Its totient is φ = 90772385572000.

The previous prime is 101112121111103. The next prime is 101112121111117. The reversal of 101112121111111 is 111111121211101.

It is not a de Polignac number, because 101112121111111 - 2³ = 101112121111103 is a prime.

It is a super-2 number, since 2×101112121111111² (a number of 29 digits) contains 22 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 (101112121111117) 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 15 ways as a sum of consecutive naturals, for example, 118386511 + ... + 119237536.

It is an arithmetic number, because the mean of its divisors is an integer number (6980444034048).

Almost surely, 2^{101112121111111} is an apocalyptic number.

101112121111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101112121111111 is a deficient number, since it is larger than the sum of its proper divisors (10574983433657).

101112121111111 is a wasteful number, since it uses less digits than its factorization.

101112121111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237624542.

The product of its (nonzero) digits is 4, while the sum is 16.

Adding to 101112121111111 its reverse (111111121211101), we get a palindrome (212223242322212).

The spelling of 101112121111111 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred eleven".