2101001020961 has 2 divisors, whose sum is σ = 2101001020962. Its totient is φ = 2101001020960.

The previous prime is 2101001020913. The next prime is 2101001021039. The reversal of 2101001020961 is 1690201001012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1689074526736 + 411926494225 = 1299644^2 + 641815^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101001020961 - 2¹⁴ = 2101001004577 is a prime.

It is a super-2 number, since 2×2101001020961² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2101001020561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050500510480 + 1050500510481.

It is an arithmetic number, because the mean of its divisors is an integer number (1050500510481).

Almost surely, 2^{2101001020961} is an apocalyptic number.

It is an amenable number.

2101001020961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101001020961 is an equidigital number, since it uses as much as digits as its factorization.

2101001020961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 2101001020961 its reverse (1690201001012), we get a palindrome (3791202021973).

The spelling of 2101001020961 in words is "two trillion, one hundred one billion, one million, twenty thousand, nine hundred sixty-one".