101120111000111 has 16 divisors (see below), whose sum is σ = 121656321504000. Its totient is φ = 82107125661888.

The previous prime is 101120111000071. The next prime is 101120111000131. The reversal of 101120111000111 is 111000111021101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101120111000111 - 2³⁸ = 100845233093167 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101120111000092 and 101120111000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120111000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23197886 + ... + 27209963.

It is an arithmetic number, because the mean of its divisors is an integer number (7603520094000).

Almost surely, 2^{101120111000111} is an apocalyptic number.

101120111000111 is a deficient number, since it is larger than the sum of its proper divisors (20536210503889).

101120111000111 is a wasteful number, since it uses less digits than its factorization.

101120111000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50422958.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101120111000111 its reverse (111000111021101), we get a palindrome (212120222021212).

The spelling of 101120111000111 in words is "one hundred one trillion, one hundred twenty billion, one hundred eleven million, one hundred eleven", and thus it is an aban number.