1616101010137 has 2 divisors, whose sum is σ = 1616101010138. Its totient is φ = 1616101010136.

The previous prime is 1616101010113. The next prime is 1616101010171. The reversal of 1616101010137 is 7310101016161.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1616061307536 + 39702601 = 1271244^2 + 6301^2 .

It is a cyclic number.

It is not a de Polignac number, because 1616101010137 - 2⁷ = 1616101010009 is a prime.

It is a super-2 number, since 2×1616101010137² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1616101010737) 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, 808050505068 + 808050505069.

It is an arithmetic number, because the mean of its divisors is an integer number (808050505069).

Almost surely, 2^{1616101010137} is an apocalyptic number.

It is an amenable number.

1616101010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1616101010137 is an equidigital number, since it uses as much as digits as its factorization.

1616101010137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 28.

Adding to 1616101010137 its reverse (7310101016161), we get a palindrome (8926202026298).

The spelling of 1616101010137 in words is "one trillion, six hundred sixteen billion, one hundred one million, ten thousand, one hundred thirty-seven".