102214140040997 has 2 divisors, whose sum is σ = 102214140040998. Its totient is φ = 102214140040996.

The previous prime is 102214140040981. The next prime is 102214140041047. The reversal of 102214140040997 is 799040041412201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101917282877281 + 296857163716 = 10095409^2 + 544846^2 .

It is an emirp because it is prime and its reverse (799040041412201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102214140040997 - 2⁴ = 102214140040981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102214140040907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51107070020498 + 51107070020499.

It is an arithmetic number, because the mean of its divisors is an integer number (51107070020499).

Almost surely, 2^{102214140040997} is an apocalyptic number.

It is an amenable number.

102214140040997 is a deficient number, since it is larger than the sum of its proper divisors (1).

102214140040997 is an equidigital number, since it uses as much as digits as its factorization.

102214140040997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 102214140040997 in words is "one hundred two trillion, two hundred fourteen billion, one hundred forty million, forty thousand, nine hundred ninety-seven".