102201021122261 has 2 divisors, whose sum is σ = 102201021122262. Its totient is φ = 102201021122260.

The previous prime is 102201021122173. The next prime is 102201021122279. The reversal of 102201021122261 is 162221120102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75411960208036 + 26789060914225 = 8684006^2 + 5175815^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201021122261 - 2¹⁴ = 102201021105877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201021122561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100510561130 + 51100510561131.

It is an arithmetic number, because the mean of its divisors is an integer number (51100510561131).

Almost surely, 2^{102201021122261} is an apocalyptic number.

It is an amenable number.

102201021122261 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201021122261 is an equidigital number, since it uses as much as digits as its factorization.

102201021122261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 102201021122261 its reverse (162221120102201), we get a palindrome (264422141224462).

The spelling of 102201021122261 in words is "one hundred two trillion, two hundred one billion, twenty-one million, one hundred twenty-two thousand, two hundred sixty-one".