102112033085737 has 2 divisors, whose sum is σ = 102112033085738. Its totient is φ = 102112033085736.

The previous prime is 102112033085731. The next prime is 102112033085767. The reversal of 102112033085737 is 737580330211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97430106507561 + 4681926578176 = 9870669^2 + 2163776^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112033085737 - 2⁷ = 102112033085609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112033085693 and 102112033085702.

It is not a weakly prime, because it can be changed into another prime (102112033085731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056016542868 + 51056016542869.

It is an arithmetic number, because the mean of its divisors is an integer number (51056016542869).

Almost surely, 2^{102112033085737} is an apocalyptic number.

It is an amenable number.

102112033085737 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112033085737 is an equidigital number, since it uses as much as digits as its factorization.

102112033085737 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 43.

Adding to 102112033085737 its reverse (737580330211201), we get a palindrome (839692363296938).

The spelling of 102112033085737 in words is "one hundred two trillion, one hundred twelve billion, thirty-three million, eighty-five thousand, seven hundred thirty-seven".