102200109961 has 2 divisors, whose sum is σ = 102200109962. Its totient is φ = 102200109960.

The previous prime is 102200109959. The next prime is 102200110037. The reversal of 102200109961 is 169901002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58102209936 + 44097900025 = 241044^2 + 209995^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200109961 - 2¹ = 102200109959 is a prime.

Together with 102200109959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102200109901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100054980 + 51100054981.

It is an arithmetic number, because the mean of its divisors is an integer number (51100054981).

Almost surely, 2^102200109961 is an apocalyptic number.

It is an amenable number.

102200109961 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200109961 is an equidigital number, since it uses as much as digits as its factorization.

102200109961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 102200109961 in words is "one hundred two billion, two hundred million, one hundred nine thousand, nine hundred sixty-one".