102221329947461 has 2 divisors, whose sum is σ = 102221329947462. Its totient is φ = 102221329947460.

The previous prime is 102221329947449. The next prime is 102221329947463. The reversal of 102221329947461 is 164749923122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101876602439236 + 344727508225 = 10093394^2 + 587135^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221329947461 - 2⁴² = 97823283436357 is a prime.

Together with 102221329947463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221329947463) 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, 51110664973730 + 51110664973731.

It is an arithmetic number, because the mean of its divisors is an integer number (51110664973731).

Almost surely, 2^{102221329947461} is an apocalyptic number.

It is an amenable number.

102221329947461 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221329947461 is an equidigital number, since it uses as much as digits as its factorization.

102221329947461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 102221329947461 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred twenty-nine million, nine hundred forty-seven thousand, four hundred sixty-one".