1021010011001 has 4 divisors (see below), whose sum is σ = 1021012982004. Its totient is φ = 1021007040000.

The previous prime is 1021010010973. The next prime is 1021010011009. The reversal of 1021010011001 is 1001100101201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 383086723600 + 637923287401 = 618940^2 + 798701^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021010011001 - 2¹⁰ = 1021010009977 is a prime.

It is a super-2 number, since 2×1021010011001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1021010011001.

It is not an unprimeable number, because it can be changed into a prime (1021010011009) 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 in 3 ways as a sum of consecutive naturals, for example, 890600 + ... + 1683801.

It is an arithmetic number, because the mean of its divisors is an integer number (255253245501).

Almost surely, 2^{1021010011001} is an apocalyptic number.

It is an amenable number.

1021010011001 is a deficient number, since it is larger than the sum of its proper divisors (2971003).

1021010011001 is an equidigital number, since it uses as much as digits as its factorization.

1021010011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971002.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1021010011001 its reverse (1001100101201), we get a palindrome (2022110112202).

The spelling of 1021010011001 in words is "one trillion, twenty-one billion, ten million, eleven thousand, one".