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122310213101 is a prime number
BaseRepresentation
bin111000111101001000…
…0011011110111101101
3102200201000020121002122
41301322100123313231
54000442403304401
6132104420202325
711556650441366
oct1617220336755
9380630217078
10122310213101
1147964a2144a
121b8555393a5
13b6c29c707b
145cc40b2b6d
1532acbe321b
hex1c7a41bded

122310213101 has 2 divisors, whose sum is σ = 122310213102. Its totient is φ = 122310213100.

The previous prime is 122310213097. The next prime is 122310213131. The reversal of 122310213101 is 101312013221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61256745001 + 61053468100 = 247501^2 + 247090^2 .

It is an emirp because it is prime and its reverse (101312013221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122310213101 - 22 = 122310213097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122310213101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122310213131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155106550 + 61155106551.

It is an arithmetic number, because the mean of its divisors is an integer number (61155106551).

Almost surely, 2122310213101 is an apocalyptic number.

It is an amenable number.

122310213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122310213101 is an equidigital number, since it uses as much as digits as its factorization.

122310213101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122310213101 its reverse (101312013221), we get a palindrome (223622226322).

The spelling of 122310213101 in words is "one hundred twenty-two billion, three hundred ten million, two hundred thirteen thousand, one hundred one".