101101112111 has 4 divisors (see below), whose sum is σ = 101278172424. Its totient is φ = 100924051800.

The previous prime is 101101112053. The next prime is 101101112113. The reversal of 101101112111 is 111211101101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 111211101101 = 25679 ⋅4330819.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101112111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101112092 and 101101112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101112113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88529300 + ... + 88530441.

It is an arithmetic number, because the mean of its divisors is an integer number (25319543106).

Almost surely, 2^101101112111 is an apocalyptic number.

101101112111 is a deficient number, since it is larger than the sum of its proper divisors (177060313).

101101112111 is an equidigital number, since it uses as much as digits as its factorization.

101101112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177060312.

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

Adding to 101101112111 its reverse (111211101101), we get a palindrome (212312213212).

The spelling of 101101112111 in words is "one hundred one billion, one hundred one million, one hundred twelve thousand, one hundred eleven".