102112100000737 has 2 divisors, whose sum is σ = 102112100000738. Its totient is φ = 102112100000736.

The previous prime is 102112100000719. The next prime is 102112100000741. The reversal of 102112100000737 is 737000001211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71612061436881 + 30500038563856 = 8462391^2 + 5522684^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112100000737 - 2¹⁹ = 102112099476449 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112100000707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056050000368 + 51056050000369.

It is an arithmetic number, because the mean of its divisors is an integer number (51056050000369).

Almost surely, 2^{102112100000737} is an apocalyptic number.

It is an amenable number.

102112100000737 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112100000737 is an equidigital number, since it uses as much as digits as its factorization.

102112100000737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 25.

Adding to 102112100000737 its reverse (737000001211201), we get a palindrome (839112101211938).

The spelling of 102112100000737 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, seven hundred thirty-seven", and thus it is an aban number.