101101121 has 8 divisors (see below), whose sum is σ = 112982688. Its totient is φ = 89668000.

The previous prime is 101101111. The next prime is 101101139. The reversal of 101101121 is 121101101.

It is a happy number.

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 101101121 - 2¹⁸ = 100838977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101099 and 101101108.

It is not an unprimeable number, because it can be changed into a prime (101101111) 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, 111635 + ... + 112536.

It is an arithmetic number, because the mean of its divisors is an integer number (14122836).

Almost surely, 2^101101121 is an apocalyptic number.

101101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101121 is a deficient number, since it is larger than the sum of its proper divisors (11881567).

101101121 is a wasteful number, since it uses less digits than its factorization.

101101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224223.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 101101121 is about 10054.9053202902. The cubic root of 101101121 is about 465.8563185639.

Adding to 101101121 its reverse (121101101), we get a palindrome (222202222).

It can be divided in two parts, 101101 and 121, that multiplied together give a palindrome (12233221).

The spelling of 101101121 in words is "one hundred one million, one hundred one thousand, one hundred twenty-one".