102137745009229 has 2 divisors, whose sum is σ = 102137745009230. Its totient is φ = 102137745009228.

The previous prime is 102137745009227. The next prime is 102137745009281. The reversal of 102137745009229 is 922900547731201.

It is an a-pointer prime, because the next prime (102137745009281) can be obtained adding 102137745009229 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82044284308900 + 20093460700329 = 9057830^2 + 4482573^2 .

It is a cyclic number.

It is not a de Polignac number, because 102137745009229 - 2¹ = 102137745009227 is a prime.

Together with 102137745009227, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102137745009227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51068872504614 + 51068872504615.

It is an arithmetic number, because the mean of its divisors is an integer number (51068872504615).

Almost surely, 2^{102137745009229} is an apocalyptic number.

It is an amenable number.

102137745009229 is a deficient number, since it is larger than the sum of its proper divisors (1).

102137745009229 is an equidigital number, since it uses as much as digits as its factorization.

102137745009229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 102137745009229 in words is "one hundred two trillion, one hundred thirty-seven billion, seven hundred forty-five million, nine thousand, two hundred twenty-nine".