101112111121 has 16 divisors (see below), whose sum is σ = 121733939200. Its totient is φ = 82041741648.

The previous prime is 101112111077. The next prime is 101112111127. The reversal of 101112111121 is 121111211101.

It is a cyclic number.

It is not a de Polignac number, because 101112111121 - 2¹¹ = 101112109073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112111127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127095 + ... + 467308.

It is an arithmetic number, because the mean of its divisors is an integer number (7608371200).

Almost surely, 2^101112111121 is an apocalyptic number.

It is an amenable number.

101112111121 is a deficient number, since it is larger than the sum of its proper divisors (20621828079).

101112111121 is a wasteful number, since it uses less digits than its factorization.

101112111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595708.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101112111121 its reverse (121111211101), we get a palindrome (222223322222).

The spelling of 101112111121 in words is "one hundred one billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-one".