101001121 has 16 divisors (see below), whose sum is σ = 111888000. Its totient is φ = 90599040.

The previous prime is 101001091. The next prime is 101001133. The reversal of 101001121 is 121100101.

It is a cyclic number.

It is not a de Polignac number, because 101001121 - 2⁷ = 101000993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001181) 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 15 ways as a sum of consecutive naturals, for example, 66630 + ... + 68128.

It is an arithmetic number, because the mean of its divisors is an integer number (6993000).

Almost surely, 2^101001121 is an apocalyptic number.

It is an amenable number.

101001121 is a deficient number, since it is larger than the sum of its proper divisors (10886879).

101001121 is a wasteful number, since it uses less digits than its factorization.

101001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 101001121 is about 10049.9313928006. The cubic root of 101001121 is about 465.7026737138.

Adding to 101001121 its reverse (121100101), we get a palindrome (222101222).

The spelling of 101001121 in words is "one hundred one million, one thousand, one hundred twenty-one".