1020221101001 has 2 divisors, whose sum is σ = 1020221101002. Its totient is φ = 1020221101000.

The previous prime is 1020221100991. The next prime is 1020221101019. The reversal of 1020221101001 is 1001011220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 935816325376 + 84404775625 = 967376^2 + 290525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020221101001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1020221103001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510110550500 + 510110550501.

It is an arithmetic number, because the mean of its divisors is an integer number (510110550501).

Almost surely, 2^{1020221101001} is an apocalyptic number.

It is an amenable number.

1020221101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020221101001 is an equidigital number, since it uses as much as digits as its factorization.

1020221101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020221101001 its reverse (1001011220201), we get a palindrome (2021232321202).

The spelling of 1020221101001 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred one thousand, one".