1021221012001 has 8 divisors (see below), whose sum is σ = 1046292849000. Its totient is φ = 996156984960.

The previous prime is 1021221011989. The next prime is 1021221012011. The reversal of 1021221012001 is 1002101221201.

It can be written as a sum of positive squares in 4 ways, for example, as 217903173601 + 803317838400 = 466801^2 + 896280^2 .

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 1021221012001 - 2¹⁹ = 1021220487713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021221012011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1687326 + ... + 2211223.

It is an arithmetic number, because the mean of its divisors is an integer number (130786606125).

Almost surely, 2^{1021221012001} is an apocalyptic number.

It is an amenable number.

1021221012001 is a deficient number, since it is larger than the sum of its proper divisors (25071836999).

1021221012001 is an equidigital number, since it uses as much as digits as its factorization.

1021221012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904979.

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

Adding to 1021221012001 its reverse (1002101221201), we get a palindrome (2023322233202).

The spelling of 1021221012001 in words is "one trillion, twenty-one billion, two hundred twenty-one million, twelve thousand, one".