102521621145761 has 2 divisors, whose sum is σ = 102521621145762. Its totient is φ = 102521621145760.

The previous prime is 102521621145739. The next prime is 102521621145763. The reversal of 102521621145761 is 167541126125201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54129215849536 + 48392405296225 = 7357256^2 + 6956465^2 .

It is a cyclic number.

It is not a de Polignac number, because 102521621145761 - 2³⁴ = 102504441276577 is a prime.

Together with 102521621145763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102521621145763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51260810572880 + 51260810572881.

It is an arithmetic number, because the mean of its divisors is an integer number (51260810572881).

Almost surely, 2^{102521621145761} is an apocalyptic number.

It is an amenable number.

102521621145761 is a deficient number, since it is larger than the sum of its proper divisors (1).

102521621145761 is an equidigital number, since it uses as much as digits as its factorization.

102521621145761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201600, while the sum is 44.

The spelling of 102521621145761 in words is "one hundred two trillion, five hundred twenty-one billion, six hundred twenty-one million, one hundred forty-five thousand, seven hundred sixty-one".