1021000122001 has 2 divisors, whose sum is σ = 1021000122002. Its totient is φ = 1021000122000.

The previous prime is 1021000121971. The next prime is 1021000122031. The reversal of 1021000122001 is 1002210001201.

It is a balanced prime because it is at equal distance from previous prime (1021000121971) and next prime (1021000122031).

It can be written as a sum of positive squares in only one way, i.e., 1019857614400 + 1142507601 = 1009880^2 + 33801^2 .

It is an emirp because it is prime and its reverse (1002210001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021000122001 - 2¹⁵ = 1021000089233 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021000122031) 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, 510500061000 + 510500061001.

It is an arithmetic number, because the mean of its divisors is an integer number (510500061001).

Almost surely, 2^{1021000122001} is an apocalyptic number.

It is an amenable number.

1021000122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021000122001 is an equidigital number, since it uses as much as digits as its factorization.

1021000122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021000122001 its reverse (1002210001201), we get a palindrome (2023210123202).

The spelling of 1021000122001 in words is "one trillion, twenty-one billion, one hundred twenty-two thousand, one".