101101110122111 has 4 divisors (see below), whose sum is σ = 110292120133224. Its totient is φ = 91910100111000.

The previous prime is 101101110122071. The next prime is 101101110122137. The reversal of 101101110122111 is 111221011101101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101101110122111 - 2³⁸ = 100826232215167 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 (101101110122911) 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 3 ways as a sum of consecutive naturals, for example, 4595505005540 + ... + 4595505005561.

It is an arithmetic number, because the mean of its divisors is an integer number (27573030033306).

Almost surely, 2^{101101110122111} is an apocalyptic number.

101101110122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101110122111 is a deficient number, since it is larger than the sum of its proper divisors (9191010011113).

101101110122111 is an equidigital number, since it uses as much as digits as its factorization.

101101110122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191010011112.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101101110122111 its reverse (111221011101101), we get a palindrome (212322121223212).

The spelling of 101101110122111 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred twenty-two thousand, one hundred eleven".