1031021012221 has 8 divisors (see below), whose sum is σ = 1040506414200. Its totient is φ = 1021536092160.

The previous prime is 1031021012183. The next prime is 1031021012309. The reversal of 1031021012221 is 1222101201301.

It can be written as a sum of positive squares in 4 ways, for example, as 317019672025 + 714001340196 = 563045^2 + 844986^2 .

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 1031021012221 - 2²⁷ = 1030886794493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1031021012195 and 1031021012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031021012321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5289861 + ... + 5481301.

It is an arithmetic number, because the mean of its divisors is an integer number (130063301775).

Almost surely, 2^{1031021012221} is an apocalyptic number.

It is an amenable number.

1031021012221 is a deficient number, since it is larger than the sum of its proper divisors (9485401979).

1031021012221 is a wasteful number, since it uses less digits than its factorization.

1031021012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240959.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1031021012221 its reverse (1222101201301), we get a palindrome (2253122213522).

The spelling of 1031021012221 in words is "one trillion, thirty-one billion, twenty-one million, twelve thousand, two hundred twenty-one".