10010114032361 has 2 divisors, whose sum is σ = 10010114032362. Its totient is φ = 10010114032360.

The previous prime is 10010114032307. The next prime is 10010114032367. The reversal of 10010114032361 is 16323041101001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8998770042025 + 1011343990336 = 2999795^2 + 1005656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010114032361 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010114032367) 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, 5005057016180 + 5005057016181.

It is an arithmetic number, because the mean of its divisors is an integer number (5005057016181).

Almost surely, 2^{10010114032361} is an apocalyptic number.

It is an amenable number.

10010114032361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010114032361 is an equidigital number, since it uses as much as digits as its factorization.

10010114032361 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 23.

Adding to 10010114032361 its reverse (16323041101001), we get a palindrome (26333155133362).

The spelling of 10010114032361 in words is "ten trillion, ten billion, one hundred fourteen million, thirty-two thousand, three hundred sixty-one".