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122103231121 is a prime number
BaseRepresentation
bin111000110110111101…
…0110111001010010001
3102200011120202211012101
41301231322313022101
54000031411343441
6132032104000401
711551555224364
oct1615572671221
9380146684171
10122103231121
11478690aa863
121b7b8160101
13b68bb66b21
145ca47d40db
15329995a231
hex1c6deb7291

122103231121 has 2 divisors, whose sum is σ = 122103231122. Its totient is φ = 122103231120.

The previous prime is 122103231091. The next prime is 122103231143. The reversal of 122103231121 is 121132301221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97356480400 + 24746750721 = 312020^2 + 157311^2 .

It is an emirp because it is prime and its reverse (121132301221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122103231121 - 213 = 122103222929 is a prime.

It is not a weakly prime, because it can be changed into another prime (122103231181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051615560 + 61051615561.

It is an arithmetic number, because the mean of its divisors is an integer number (61051615561).

Almost surely, 2122103231121 is an apocalyptic number.

It is an amenable number.

122103231121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122103231121 is an equidigital number, since it uses as much as digits as its factorization.

122103231121 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 19.

Adding to 122103231121 its reverse (121132301221), we get a palindrome (243235532342).

It can be divided in two parts, 1221032 and 31121, that added together give a triangular number (1252153 = T1582).

The spelling of 122103231121 in words is "one hundred twenty-two billion, one hundred three million, two hundred thirty-one thousand, one hundred twenty-one".