10121984737 has 2 divisors, whose sum is σ = 10121984738. Its totient is φ = 10121984736.

The previous prime is 10121984711. The next prime is 10121984749. The reversal of 10121984737 is 73748912101.

10121984737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9165381696 + 956603041 = 95736^2 + 30929^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121984737 - 2¹⁵ = 10121951969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121984693 and 10121984702.

It is not a weakly prime, because it can be changed into another prime (10121984777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060992368 + 5060992369.

It is an arithmetic number, because the mean of its divisors is an integer number (5060992369).

Almost surely, 2^10121984737 is an apocalyptic number.

It is an amenable number.

10121984737 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121984737 is an equidigital number, since it uses as much as digits as its factorization.

10121984737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 10121984737 in words is "ten billion, one hundred twenty-one million, nine hundred eighty-four thousand, seven hundred thirty-seven".