10042211101361 has 2 divisors, whose sum is σ = 10042211101362. Its totient is φ = 10042211101360.

The previous prime is 10042211101357. The next prime is 10042211101381. The reversal of 10042211101361 is 16310111224001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8883714069136 + 1158497032225 = 2980556^2 + 1076335^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042211101361 - 2² = 10042211101357 is a prime.

It is not a weakly prime, because it can be changed into another prime (10042211101381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021105550680 + 5021105550681.

It is an arithmetic number, because the mean of its divisors is an integer number (5021105550681).

Almost surely, 2^{10042211101361} is an apocalyptic number.

It is an amenable number.

10042211101361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042211101361 is an equidigital number, since it uses as much as digits as its factorization.

10042211101361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 10042211101361 its reverse (16310111224001), we get a palindrome (26352322325362).

The spelling of 10042211101361 in words is "ten trillion, forty-two billion, two hundred eleven million, one hundred one thousand, three hundred sixty-one".