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122000211101 is a prime number
BaseRepresentation
bin111000110011111000…
…1110111110010011101
3102122220101220212022002
41301213301313302131
53444324023223401
6132013543532045
711546164453436
oct1614761676235
9378811825262
10122000211101
1147815a3634a
121b78975a025
13b673706832
145c94c5848d
1532908aaa6b
hex1c67c77c9d

122000211101 has 2 divisors, whose sum is σ = 122000211102. Its totient is φ = 122000211100.

The previous prime is 122000211083. The next prime is 122000211133. The reversal of 122000211101 is 101112000221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121431340900 + 568870201 = 348470^2 + 23851^2 .

It is a cyclic number.

It is not a de Polignac number, because 122000211101 - 230 = 120926469277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122000211191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000105550 + 61000105551.

It is an arithmetic number, because the mean of its divisors is an integer number (61000105551).

Almost surely, 2122000211101 is an apocalyptic number.

It is an amenable number.

122000211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000211101 is an equidigital number, since it uses as much as digits as its factorization.

122000211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122000211101 its reverse (101112000221), we get a palindrome (223112211322).

The spelling of 122000211101 in words is "one hundred twenty-two billion, two hundred eleven thousand, one hundred one".