1020000221101 has 2 divisors, whose sum is σ = 1020000221102. Its totient is φ = 1020000221100.

The previous prime is 1020000221063. The next prime is 1020000221117. The reversal of 1020000221101 is 1011220000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 862764180201 + 157236040900 = 928851^2 + 396530^2 .

It is an emirp because it is prime and its reverse (1011220000201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020000221101 - 2²⁵ = 1019966666669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020000224101) 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, 510000110550 + 510000110551.

It is an arithmetic number, because the mean of its divisors is an integer number (510000110551).

Almost surely, 2^{1020000221101} is an apocalyptic number.

It is an amenable number.

1020000221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020000221101 is an equidigital number, since it uses as much as digits as its factorization.

1020000221101 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 1020000221101 its reverse (1011220000201), we get a palindrome (2031220221302).

The spelling of 1020000221101 in words is "one trillion, twenty billion, two hundred twenty-one thousand, one hundred one".