Search a number
-
+
122101101197 is a prime number
BaseRepresentation
bin111000110110111001…
…0101111001010001101
3102200011102202121111022
41301231302233022031
54000030340214242
6132031550203525
711551531143605
oct1615562571215
9380142677438
10122101101197
1147867985599
121b7b74b35a5
13b68b59c50a
145ca43dbc05
1532996890d2
hex1c6dcaf28d

122101101197 has 2 divisors, whose sum is σ = 122101101198. Its totient is φ = 122101101196.

The previous prime is 122101101181. The next prime is 122101101277. The reversal of 122101101197 is 791101101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98012198761 + 24088902436 = 313069^2 + 155206^2 .

It is an emirp because it is prime and its reverse (791101101221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122101101197 - 24 = 122101101181 is a prime.

It is a super-3 number, since 3×1221011011973 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101101127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050550598 + 61050550599.

It is an arithmetic number, because the mean of its divisors is an integer number (61050550599).

Almost surely, 2122101101197 is an apocalyptic number.

It is an amenable number.

122101101197 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101101197 is an equidigital number, since it uses as much as digits as its factorization.

122101101197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 26.

The spelling of 122101101197 in words is "one hundred twenty-two billion, one hundred one million, one hundred one thousand, one hundred ninety-seven".