101111122111 has 8 divisors (see below), whose sum is σ = 101519883920. Its totient is φ = 100702723392.

The previous prime is 101111122103. The next prime is 101111122121. The reversal of 101111122111 is 111221111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111122111 - 2³ = 101111122103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111122091 and 101111122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111122121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474385 + ... + 653653.

It is an arithmetic number, because the mean of its divisors is an integer number (12689985490).

Almost surely, 2^101111122111 is an apocalyptic number.

101111122111 is a deficient number, since it is larger than the sum of its proper divisors (408761809).

101111122111 is a wasteful number, since it uses less digits than its factorization.

101111122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181545.

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

Adding to 101111122111 its reverse (111221111101), we get a palindrome (212332233212).

The spelling of 101111122111 in words is "one hundred one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred eleven".