1001032121 has 8 divisors (see below), whose sum is σ = 1039408200. Its totient is φ = 962913280.

The previous prime is 1001032117. The next prime is 1001032139. The reversal of 1001032121 is 1212301001.

It can be written as a sum of positive squares in 4 ways, for example, as 4682896 + 996349225 = 2164^2 + 31565^2 .

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 1001032121 - 2² = 1001032117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001032171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56360 + ... + 71961.

It is an arithmetic number, because the mean of its divisors is an integer number (129926025).

Almost surely, 2^1001032121 is an apocalyptic number.

It is an amenable number.

1001032121 is a deficient number, since it is larger than the sum of its proper divisors (38376079).

1001032121 is a wasteful number, since it uses less digits than its factorization.

1001032121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128619.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1001032121 is about 31639.0916588956. The cubic root of 1001032121 is about 1000.3439220374.

Adding to 1001032121 its reverse (1212301001), we get a palindrome (2213333122).

The spelling of 1001032121 in words is "one billion, one million, thirty-two thousand, one hundred twenty-one".