10101101211049 has 2 divisors, whose sum is σ = 10101101211050. Its totient is φ = 10101101211048.

The previous prime is 10101101210971. The next prime is 10101101211083. The reversal of 10101101211049 is 94011210110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9793569963024 + 307531248025 = 3129468^2 + 554555^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101101211049 - 2²⁹ = 10100564340137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101101211749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550605524 + 5050550605525.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550605525).

Almost surely, 2^{10101101211049} is an apocalyptic number.

It is an amenable number.

10101101211049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101211049 is an equidigital number, since it uses as much as digits as its factorization.

10101101211049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 10101101211049 in words is "ten trillion, one hundred one billion, one hundred one million, two hundred eleven thousand, forty-nine".