1021101001 has 2 divisors, whose sum is σ = 1021101002. Its totient is φ = 1021101000.

The previous prime is 1021100987. The next prime is 1021101017. The reversal of 1021101001 is 1001011201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 979627401 + 41473600 = 31299^2 + 6440^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021101001 - 2²¹ = 1019003849 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510550500 + 510550501.

It is an arithmetic number, because the mean of its divisors is an integer number (510550501).

Almost surely, 2^1021101001 is an apocalyptic number.

It is an amenable number.

1021101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021101001 is an equidigital number, since it uses as much as digits as its factorization.

1021101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1021101001 is about 31954.6710357031. The cubic root of 1021101001 is about 1006.9847664491.

Adding to 1021101001 its reverse (1001011201), we get a palindrome (2022112202).

The spelling of 1021101001 in words is "one billion, twenty-one million, one hundred one thousand, one".