1011000001021 has 2 divisors, whose sum is σ = 1011000001022. Its totient is φ = 1011000001020.

The previous prime is 1011000001013. The next prime is 1011000001127. The reversal of 1011000001021 is 1201000001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 843203264121 + 167796736900 = 918261^2 + 409630^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011000001021 - 2³ = 1011000001013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011000000995 and 1011000001013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011000005021) 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, 505500000510 + 505500000511.

It is an arithmetic number, because the mean of its divisors is an integer number (505500000511).

Almost surely, 2^{1011000001021} is an apocalyptic number.

It is an amenable number.

1011000001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011000001021 is an equidigital number, since it uses as much as digits as its factorization.

1011000001021 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 1011000001021 its reverse (1201000001101), we get a palindrome (2212000002122).

The spelling of 1011000001021 in words is "one trillion, eleven billion, one thousand, twenty-one".