1024121021 has 24 divisors (see below), whose sum is σ = 1376087616. Its totient is φ = 751067520.

The previous prime is 1024120967. The next prime is 1024121027. The reversal of 1024121021 is 1201214201.

It is a happy number.

It is not a de Polignac number, because 1024121021 - 2²² = 1019926717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1024120987 and 1024121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024121027) 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 23 ways as a sum of consecutive naturals, for example, 46721 + ... + 65046.

It is an arithmetic number, because the mean of its divisors is an integer number (57336984).

Almost surely, 2^1024121021 is an apocalyptic number.

1024121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1024121021 is a deficient number, since it is larger than the sum of its proper divisors (351966595).

1024121021 is a wasteful number, since it uses less digits than its factorization.

1024121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111809 (or 111802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1024121021 is about 32001.8908972579. The cubic root of 1024121021 is about 1007.9765458792.

Adding to 1024121021 its reverse (1201214201), we get a palindrome (2225335222).

The spelling of 1024121021 in words is "one billion, twenty-four million, one hundred twenty-one thousand, twenty-one".