101100112111 has 16 divisors (see below), whose sum is σ = 103371434496. Its totient is φ = 98853300000.

The previous prime is 101100112103. The next prime is 101100112147. The reversal of 101100112111 is 111211001101.

It is not a de Polignac number, because 101100112111 - 2³ = 101100112103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100112411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23724721 + ... + 23728981.

It is an arithmetic number, because the mean of its divisors is an integer number (6460714656).

Almost surely, 2^101100112111 is an apocalyptic number.

101100112111 is a deficient number, since it is larger than the sum of its proper divisors (2271322385).

101100112111 is a wasteful number, since it uses less digits than its factorization.

101100112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101100112111 its reverse (111211001101), we get a palindrome (212311113212).

The spelling of 101100112111 in words is "one hundred one billion, one hundred million, one hundred twelve thousand, one hundred eleven".