1001012212021 has 8 divisors (see below), whose sum is σ = 1001915777304. Its totient is φ = 1000109053440.

The previous prime is 1001012211971. The next prime is 1001012212069. The reversal of 1001012212021 is 1202122101001.

It can be written as a sum of positive squares in 4 ways, for example, as 338601791025 + 662410420996 = 581895^2 + 813886^2 .

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 1001012212021 - 2²¹ = 1001010114869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001012211992 and 1001012212010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012212721) 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, 4935021 + ... + 5133853.

It is an arithmetic number, because the mean of its divisors is an integer number (125239472163).

Almost surely, 2^{1001012212021} is an apocalyptic number.

It is an amenable number.

1001012212021 is a deficient number, since it is larger than the sum of its proper divisors (903565283).

1001012212021 is a wasteful number, since it uses less digits than its factorization.

1001012212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203351.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1001012212021 its reverse (1202122101001), we get a palindrome (2203134313022).

The spelling of 1001012212021 in words is "one trillion, one billion, twelve million, two hundred twelve thousand, twenty-one".