121101121 has 8 divisors (see below), whose sum is σ = 122523624. Its totient is φ = 119683200.

The previous prime is 121101119. The next prime is 121101133.

121101121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 75064896 + 46036225 = 8664^2 + 6785^2 .

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 121101121 - 2¹ = 121101119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121101098 and 121101107.

It is not an unprimeable number, because it can be changed into a prime (121101151) 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, 109845 + ... + 110941.

It is an arithmetic number, because the mean of its divisors is an integer number (15315453).

Almost surely, 2^121101121 is an apocalyptic number.

It is an amenable number.

121101121 is a deficient number, since it is larger than the sum of its proper divisors (1422503).

121101121 is a wasteful number, since it uses less digits than its factorization.

121101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291.

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

The square root of 121101121 is about 11004.5954491749. The cubic root of 121101121 is about 494.7464892409.

It can be divided in two parts, 12110 and 1121, that added together give a palindrome (13231).

The spelling of 121101121 in words is "one hundred twenty-one million, one hundred one thousand, one hundred twenty-one".