102100220137 has 2 divisors, whose sum is σ = 102100220138. Its totient is φ = 102100220136.

The previous prime is 102100220077. The next prime is 102100220177. The reversal of 102100220137 is 731022001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58243064896 + 43857155241 = 241336^2 + 209421^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100220137 - 2¹⁵ = 102100187369 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100220177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050110068 + 51050110069.

It is an arithmetic number, because the mean of its divisors is an integer number (51050110069).

Almost surely, 2^102100220137 is an apocalyptic number.

It is an amenable number.

102100220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100220137 is an equidigital number, since it uses as much as digits as its factorization.

102100220137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 102100220137 its reverse (731022001201), we get a palindrome (833122221338).

The spelling of 102100220137 in words is "one hundred two billion, one hundred million, two hundred twenty thousand, one hundred thirty-seven".