101201001001189 has 2 divisors, whose sum is σ = 101201001001190. Its totient is φ = 101201001001188.

The previous prime is 101201001001151. The next prime is 101201001001291. The reversal of 101201001001189 is 981100100102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88127352938689 + 13073648062500 = 9387617^2 + 3615750^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201001001189 - 2³⁷ = 101063562047717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201001001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600500500594 + 50600500500595.

It is an arithmetic number, because the mean of its divisors is an integer number (50600500500595).

Almost surely, 2^{101201001001189} is an apocalyptic number.

It is an amenable number.

101201001001189 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201001001189 is an equidigital number, since it uses as much as digits as its factorization.

101201001001189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 101201001001189 in words is "one hundred one trillion, two hundred one billion, one million, one thousand, one hundred eighty-nine".