10001101101961 has 2 divisors, whose sum is σ = 10001101101962. Its totient is φ = 10001101101960.

The previous prime is 10001101101947. The next prime is 10001101102021. The reversal of 10001101101961 is 16910110110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8805017655625 + 1196083446336 = 2967325^2 + 1093656^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001101101961 - 2⁹ = 10001101101449 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001101101161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550550980 + 5000550550981.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550550981).

Almost surely, 2^{10001101101961} is an apocalyptic number.

It is an amenable number.

10001101101961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101101961 is an equidigital number, since it uses as much as digits as its factorization.

10001101101961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 22.

Adding to 10001101101961 its reverse (16910110110001), we get a palindrome (26911211211962).

The spelling of 10001101101961 in words is "ten trillion, one billion, one hundred one million, one hundred one thousand, nine hundred sixty-one".