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122202101101 is a prime number
BaseRepresentation
bin111000111001111010…
…0000001010101101101
3102200102110210221022111
41301303310001111231
54000232214213401
6132045555044021
711554165502143
oct1616364012555
9380373727274
10122202101101
114790999a293
121b8252a0611
13b6a64a3182
145cb39ad593
1532a3489e51
hex1c73d0156d

122202101101 has 2 divisors, whose sum is σ = 122202101102. Its totient is φ = 122202101100.

The previous prime is 122202101059. The next prime is 122202101209. The reversal of 122202101101 is 101101202221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73292567076 + 48909534025 = 270726^2 + 221155^2 .

It is a cyclic number.

It is not a de Polignac number, because 122202101101 - 211 = 122202099053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122202108101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61101050550 + 61101050551.

It is an arithmetic number, because the mean of its divisors is an integer number (61101050551).

Almost surely, 2122202101101 is an apocalyptic number.

It is an amenable number.

122202101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122202101101 is an equidigital number, since it uses as much as digits as its factorization.

122202101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122202101101 its reverse (101101202221), we get a palindrome (223303303322).

The spelling of 122202101101 in words is "one hundred twenty-two billion, two hundred two million, one hundred one thousand, one hundred one".