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122101132189 is a prime number
BaseRepresentation
bin111000110110111001…
…0110110101110011101
3102200011102211012000011
41301231302312232131
54000030342212224
6132031551003221
711551531333141
oct1615562665635
9380142735004
10122101132189
11478679a6903
121b7b7509511
13b68b5b065a
145ca4409221
153299693394
hex1c6dcb6b9d

122101132189 has 2 divisors, whose sum is σ = 122101132190. Its totient is φ = 122101132188.

The previous prime is 122101132183. The next prime is 122101132261. The reversal of 122101132189 is 981231101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121110960100 + 990172089 = 348010^2 + 31467^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101132189 - 213 = 122101123997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122101132189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101132183) 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, 61050566094 + 61050566095.

It is an arithmetic number, because the mean of its divisors is an integer number (61050566095).

Almost surely, 2122101132189 is an apocalyptic number.

It is an amenable number.

122101132189 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101132189 is an equidigital number, since it uses as much as digits as its factorization.

122101132189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 122101132189 in words is "one hundred twenty-two billion, one hundred one million, one hundred thirty-two thousand, one hundred eighty-nine".