1005121121 has 4 divisors (see below), whose sum is σ = 1039780500. Its totient is φ = 970461744.

The previous prime is 1005121111. The next prime is 1005121123. The reversal of 1005121121 is 1211215001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 476810896 + 528310225 = 21836^2 + 22985^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005121121 - 2⁶ = 1005121057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005121096 and 1005121105.

It is not an unprimeable number, because it can be changed into a prime (1005121123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17329646 + ... + 17329703.

It is an arithmetic number, because the mean of its divisors is an integer number (259945125).

Almost surely, 2^1005121121 is an apocalyptic number.

It is an amenable number.

1005121121 is a deficient number, since it is larger than the sum of its proper divisors (34659379).

1005121121 is an equidigital number, since it uses as much as digits as its factorization.

1005121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34659378.

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 1005121121 is about 31703.6452320549. The cubic root of 1005121121 is about 1001.7041346089.

Adding to 1005121121 its reverse (1211215001), we get a palindrome (2216336122).

The spelling of 1005121121 in words is "one billion, five million, one hundred twenty-one thousand, one hundred twenty-one".