1020100221521 has 2 divisors, whose sum is σ = 1020100221522. Its totient is φ = 1020100221520.

The previous prime is 1020100221473. The next prime is 1020100221533. The reversal of 1020100221521 is 1251220010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 957532703296 + 62567518225 = 978536^2 + 250135^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020100221521 - 2¹⁰ = 1020100220497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020100221521.

It is not a weakly prime, because it can be changed into another prime (1020100221541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510050110760 + 510050110761.

It is an arithmetic number, because the mean of its divisors is an integer number (510050110761).

Almost surely, 2^{1020100221521} is an apocalyptic number.

It is an amenable number.

1020100221521 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020100221521 is an equidigital number, since it uses as much as digits as its factorization.

1020100221521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 1020100221521 its reverse (1251220010201), we get a palindrome (2271320231722).

The spelling of 1020100221521 in words is "one trillion, twenty billion, one hundred million, two hundred twenty-one thousand, five hundred twenty-one".