2101612450337 has 2 divisors, whose sum is σ = 2101612450338. Its totient is φ = 2101612450336.

The previous prime is 2101612450307. The next prime is 2101612450367. The reversal of 2101612450337 is 7330542161012.

It is a balanced prime because it is at equal distance from previous prime (2101612450307) and next prime (2101612450367).

It can be written as a sum of positive squares in only one way, i.e., 2025657641536 + 75954808801 = 1423256^2 + 275599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101612450337 - 2²⁰ = 2101611401761 is a prime.

It is a super-2 number, since 2×2101612450337² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101612450297 and 2101612450306.

It is not a weakly prime, because it can be changed into another prime (2101612450307) 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, 1050806225168 + 1050806225169.

It is an arithmetic number, because the mean of its divisors is an integer number (1050806225169).

Almost surely, 2^{2101612450337} is an apocalyptic number.

It is an amenable number.

2101612450337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101612450337 is an equidigital number, since it uses as much as digits as its factorization.

2101612450337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 2101612450337 in words is "two trillion, one hundred one billion, six hundred twelve million, four hundred fifty thousand, three hundred thirty-seven".