1000011001021 has 2 divisors, whose sum is σ = 1000011001022. Its totient is φ = 1000011001020.

The previous prime is 1000011001009. The next prime is 1000011001039. The reversal of 1000011001021 is 1201001100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 974591481796 + 25419519225 = 987214^2 + 159435^2 .

It is an emirp because it is prime and its reverse (1201001100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000011001021 - 2¹³ = 1000010992829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000011000995 and 1000011001013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000011001721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005500510 + 500005500511.

It is an arithmetic number, because the mean of its divisors is an integer number (500005500511).

Almost surely, 2^{1000011001021} is an apocalyptic number.

It is an amenable number.

1000011001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000011001021 is an equidigital number, since it uses as much as digits as its factorization.

1000011001021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1000011001021 its reverse (1201001100001), we get a palindrome (2201012101022).

The spelling of 1000011001021 in words is "one trillion, eleven million, one thousand, twenty-one".