102120938359337 has 2 divisors, whose sum is σ = 102120938359338. Its totient is φ = 102120938359336.

The previous prime is 102120938359309. The next prime is 102120938359343. The reversal of 102120938359337 is 733953839021201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85343304564736 + 16777633794601 = 9238144^2 + 4096051^2 .

It is a cyclic number.

It is not a de Polignac number, because 102120938359337 - 2¹⁸ = 102120938097193 is a prime.

It is not a weakly prime, because it can be changed into another prime (102120938359387) 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, 51060469179668 + 51060469179669.

It is an arithmetic number, because the mean of its divisors is an integer number (51060469179669).

Almost surely, 2^{102120938359337} is an apocalyptic number.

It is an amenable number.

102120938359337 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120938359337 is an equidigital number, since it uses as much as digits as its factorization.

102120938359337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7348320, while the sum is 56.

The spelling of 102120938359337 in words is "one hundred two trillion, one hundred twenty billion, nine hundred thirty-eight million, three hundred fifty-nine thousand, three hundred thirty-seven".