101122111 has 8 divisors (see below), whose sum is σ = 103680720. Its totient is φ = 98572992.

The previous prime is 101122081. The next prime is 101122117. The reversal of 101122111 is 111221101.

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 101122111 - 2⁷ = 101121983 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22401 + ... + 26533.

It is an arithmetic number, because the mean of its divisors is an integer number (12960090).

Almost surely, 2^101122111 is an apocalyptic number.

101122111 is a deficient number, since it is larger than the sum of its proper divisors (2558609).

101122111 is an equidigital number, since it uses as much as digits as its factorization.

101122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 101122111 is about 10055.9490352726. The cubic root of 101122111 is about 465.8885557517. Note that the first 3 decimals are identical.

Adding to 101122111 its reverse (111221101), we get a palindrome (212343212).

The spelling of 101122111 in words is "one hundred one million, one hundred twenty-two thousand, one hundred eleven".