101123313002189 has 2 divisors, whose sum is σ = 101123313002190. Its totient is φ = 101123313002188.

The previous prime is 101123313002161. The next prime is 101123313002213. The reversal of 101123313002189 is 981200313321101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53199080812900 + 47924232189289 = 7293770^2 + 6922733^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101123313002189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101123313005189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561656501094 + 50561656501095.

It is an arithmetic number, because the mean of its divisors is an integer number (50561656501095).

Almost surely, 2^{101123313002189} is an apocalyptic number.

It is an amenable number.

101123313002189 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123313002189 is an equidigital number, since it uses as much as digits as its factorization.

101123313002189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 101123313002189 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred thirteen million, two thousand, one hundred eighty-nine".