401101121 has 2 divisors, whose sum is σ = 401101122. Its totient is φ = 401101120.

The previous prime is 401101097. The next prime is 401101123. The reversal of 401101121 is 121101104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205520896 + 195580225 = 14336^2 + 13985^2 .

It is a cyclic number.

It is not a de Polignac number, because 401101121 - 2¹⁰ = 401100097 is a prime.

Together with 401101123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (401101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200550560 + 200550561.

It is an arithmetic number, because the mean of its divisors is an integer number (200550561).

Almost surely, 2^401101121 is an apocalyptic number.

It is an amenable number.

401101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

401101121 is an equidigital number, since it uses as much as digits as its factorization.

401101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 401101121 is about 20027.5091062269. The cubic root of 401101121 is about 737.4817743653.

Adding to 401101121 its reverse (121101104), we get a palindrome (522202225).

The spelling of 401101121 in words is "four hundred one million, one hundred one thousand, one hundred twenty-one".