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123101234101 is a prime number
BaseRepresentation
bin111001010100101100…
…1111100001110110101
3102202202010200121220201
41302221121330032311
54004102403442401
6132315114400501
711615364140146
oct1625131741665
9382663617821
10123101234101
114823048a20a
121ba36430131
13b7ba855031
145d5b181acd
153307394b01
hex1ca967c3b5

123101234101 has 2 divisors, whose sum is σ = 123101234102. Its totient is φ = 123101234100.

The previous prime is 123101234077. The next prime is 123101234107. The reversal of 123101234101 is 101432101321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93740068900 + 29361165201 = 306170^2 + 171351^2 .

It is an emirp because it is prime and its reverse (101432101321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123101234101 - 211 = 123101232053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123101234107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61550617050 + 61550617051.

It is an arithmetic number, because the mean of its divisors is an integer number (61550617051).

Almost surely, 2123101234101 is an apocalyptic number.

It is an amenable number.

123101234101 is a deficient number, since it is larger than the sum of its proper divisors (1).

123101234101 is an equidigital number, since it uses as much as digits as its factorization.

123101234101 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 123101234101 its reverse (101432101321), we get a palindrome (224533335422).

The spelling of 123101234101 in words is "one hundred twenty-three billion, one hundred one million, two hundred thirty-four thousand, one hundred one".