102210010010189 has 2 divisors, whose sum is σ = 102210010010190. Its totient is φ = 102210010010188.

The previous prime is 102210010010137. The next prime is 102210010010219. The reversal of 102210010010189 is 981010010012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98874484909225 + 3335525100964 = 9943565^2 + 1826342^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102210010010189 is a prime.

It is a super-2 number, since 2×102210010010189² (a number of 29 digits) contains 22 as substring.

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 (102210010010789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105005005094 + 51105005005095.

It is an arithmetic number, because the mean of its divisors is an integer number (51105005005095).

Almost surely, 2^{102210010010189} is an apocalyptic number.

It is an amenable number.

102210010010189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210010010189 is an equidigital number, since it uses as much as digits as its factorization.

102210010010189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 102210010010189 in words is "one hundred two trillion, two hundred ten billion, ten million, ten thousand, one hundred eighty-nine".