10001202120961 has 2 divisors, whose sum is σ = 10001202120962. Its totient is φ = 10001202120960.

The previous prime is 10001202120901. The next prime is 10001202121039. The reversal of 10001202120961 is 16902120210001.

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., 5054830407025 + 4946371713936 = 2248295^2 + 2224044^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001202120961 - 2³⁵ = 9966842382593 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001202120901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000601060480 + 5000601060481.

It is an arithmetic number, because the mean of its divisors is an integer number (5000601060481).

Almost surely, 2^{10001202120961} is an apocalyptic number.

It is an amenable number.

10001202120961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001202120961 is an equidigital number, since it uses as much as digits as its factorization.

10001202120961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 10001202120961 its reverse (16902120210001), we get a palindrome (26903322330962).

The spelling of 10001202120961 in words is "ten trillion, one billion, two hundred two million, one hundred twenty thousand, nine hundred sixty-one".