102200000110189 has 2 divisors, whose sum is σ = 102200000110190. Its totient is φ = 102200000110188.

The previous prime is 102200000110147. The next prime is 102200000110231. The reversal of 102200000110189 is 981011000002201.

It is a balanced prime because it is at equal distance from previous prime (102200000110147) and next prime (102200000110231).

It can be written as a sum of positive squares in only one way, i.e., 75008729134564 + 27191270975625 = 8660758^2 + 5214525^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200000110189 - 2⁹ = 102200000109677 is a prime.

It is a super-2 number, since 2×102200000110189² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200000110289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100000055094 + 51100000055095.

It is an arithmetic number, because the mean of its divisors is an integer number (51100000055095).

Almost surely, 2^{102200000110189} is an apocalyptic number.

It is an amenable number.

102200000110189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200000110189 is an equidigital number, since it uses as much as digits as its factorization.

102200000110189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 102200000110189 in words is "one hundred two trillion, two hundred billion, one hundred ten thousand, one hundred eighty-nine".