10101101011049 has 2 divisors, whose sum is σ = 10101101011050. Its totient is φ = 10101101011048.

The previous prime is 10101101010977. The next prime is 10101101011087. The reversal of 10101101011049 is 94011010110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8642424040000 + 1458676971049 = 2939800^2 + 1207757^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101101011049 - 2³⁶ = 10032381534313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101101011049.

It is not a weakly prime, because it can be changed into another prime (10101101011949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550505524 + 5050550505525.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550505525).

Almost surely, 2^{10101101011049} is an apocalyptic number.

It is an amenable number.

10101101011049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101011049 is an equidigital number, since it uses as much as digits as its factorization.

10101101011049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 10101101011049 in words is "ten trillion, one hundred one billion, one hundred one million, eleven thousand, forty-nine".