1012032021 has 48 divisors (see below), whose sum is σ = 1825534592. Its totient is φ = 485274240.

The previous prime is 1012031971. The next prime is 1012032041. The reversal of 1012032021 is 1202302101.

1012032021 = T₂₅₃ + T₂₅₄ + ... + T₁₈₂₅.

It is not a de Polignac number, because 1012032021 - 2⁹ = 1012031509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012031988 and 1012032006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012032041) 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 in 47 ways as a sum of consecutive naturals, for example, 17715 + ... + 48351.

Almost surely, 2^1012032021 is an apocalyptic number.

1012032021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012032021 is a deficient number, since it is larger than the sum of its proper divisors (813502571).

1012032021 is a wasteful number, since it uses less digits than its factorization.

1012032021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30682 (or 30671 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1012032021 is about 31812.4507229481. The cubic root of 1012032021 is about 1003.9946948313.

Adding to 1012032021 its reverse (1202302101), we get a palindrome (2214334122).

The spelling of 1012032021 in words is "one billion, twelve million, thirty-two thousand, twenty-one".