102133233112189 has 2 divisors, whose sum is σ = 102133233112190. Its totient is φ = 102133233112188.

The previous prime is 102133233112159. The next prime is 102133233112219. The reversal of 102133233112189 is 981211332331201.

It is a balanced prime because it is at equal distance from previous prime (102133233112159) and next prime (102133233112219).

It can be written as a sum of positive squares in only one way, i.e., 75247245183289 + 26885987928900 = 8674517^2 + 5185170^2 .

It is an emirp because it is prime and its reverse (981211332331201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102133233112189 - 2²⁵ = 102133199557757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102133233112159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066616556094 + 51066616556095.

It is an arithmetic number, because the mean of its divisors is an integer number (51066616556095).

Almost surely, 2^{102133233112189} is an apocalyptic number.

It is an amenable number.

102133233112189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133233112189 is an equidigital number, since it uses as much as digits as its factorization.

102133233112189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 102133233112189 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred thirty-three million, one hundred twelve thousand, one hundred eighty-nine".