102624649263361 has 2 divisors, whose sum is σ = 102624649263362. Its totient is φ = 102624649263360.

The previous prime is 102624649263329. The next prime is 102624649263391. The reversal of 102624649263361 is 163362946426201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91087458800625 + 11537190462736 = 9543975^2 + 3396644^2 .

It is an emirp because it is prime and its reverse (163362946426201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102624649263361 - 2⁵ = 102624649263329 is a prime.

It is a super-2 number, since 2×102624649263361² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102624649263391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51312324631680 + 51312324631681.

It is an arithmetic number, because the mean of its divisors is an integer number (51312324631681).

Almost surely, 2^{102624649263361} is an apocalyptic number.

It is an amenable number.

102624649263361 is a deficient number, since it is larger than the sum of its proper divisors (1).

102624649263361 is an equidigital number, since it uses as much as digits as its factorization.

102624649263361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13436928, while the sum is 55.

The spelling of 102624649263361 in words is "one hundred two trillion, six hundred twenty-four billion, six hundred forty-nine million, two hundred sixty-three thousand, three hundred sixty-one".