10201012210189 has 2 divisors, whose sum is σ = 10201012210190. Its totient is φ = 10201012210188.

The previous prime is 10201012210187. The next prime is 10201012210247. The reversal of 10201012210189 is 98101221010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8605615862089 + 1595396348100 = 2933533^2 + 1263090^2 .

It is an emirp because it is prime and its reverse (98101221010201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10201012210189 - 2¹ = 10201012210187 is a prime.

It is a super-2 number, since 2×10201012210189² (a number of 27 digits) contains 22 as substring.

Together with 10201012210187, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201012210187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100506105094 + 5100506105095.

It is an arithmetic number, because the mean of its divisors is an integer number (5100506105095).

Almost surely, 2^{10201012210189} is an apocalyptic number.

It is an amenable number.

10201012210189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201012210189 is an equidigital number, since it uses as much as digits as its factorization.

10201012210189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 10201012210189 in words is "ten trillion, two hundred one billion, twelve million, two hundred ten thousand, one hundred eighty-nine".