1032001031221 has 8 divisors (see below), whose sum is σ = 1102731810840. Its totient is φ = 962384122368.

The previous prime is 1032001031209. The next prime is 1032001031249. The reversal of 1032001031221 is 1221301002301.

It can be written as a sum of positive squares in 4 ways, for example, as 341961800625 + 690039230596 = 584775^2 + 830686^2 .

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 1032001031221 - 2¹⁷ = 1032000900149 is a prime.

It is a super-2 number, since 2×1032001031221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1032001031195 and 1032001031204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032001038221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278465776 + ... + 278469481.

It is an arithmetic number, because the mean of its divisors is an integer number (137841476355).

Almost surely, 2^{1032001031221} is an apocalyptic number.

It is an amenable number.

1032001031221 is a deficient number, since it is larger than the sum of its proper divisors (70730779619).

1032001031221 is a wasteful number, since it uses less digits than its factorization.

1032001031221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556935383.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1032001031221 its reverse (1221301002301), we get a palindrome (2253302033522).

The spelling of 1032001031221 in words is "one trillion, thirty-two billion, one million, thirty-one thousand, two hundred twenty-one".