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212011112100127 is a prime number
BaseRepresentation
bin110000001101001010101111…
…000001100111000100011111
31000210200001201221002100001211
4300031022233001213010133
5210242042224144201002
62030524321010245251
762441203666532434
oct6015125701470437
91023601657070054
10212011112100127
116160a45373147a
121b941210586827
13913b73cb95332
143a4d56d333b8b
151979d677e3dd7
hexc0d2af06711f

212011112100127 has 2 divisors, whose sum is σ = 212011112100128. Its totient is φ = 212011112100126.

The previous prime is 212011112100121. The next prime is 212011112100163. The reversal of 212011112100127 is 721001211110212.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 212011112100127 - 23 = 212011112100119 is a prime.

It is a super-2 number, since 2×2120111121001272 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212011112100098 and 212011112100107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212011112100121) 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, 106005556050063 + 106005556050064.

It is an arithmetic number, because the mean of its divisors is an integer number (106005556050064).

Almost surely, 2212011112100127 is an apocalyptic number.

212011112100127 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011112100127 is an equidigital number, since it uses as much as digits as its factorization.

212011112100127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 212011112100127 its reverse (721001211110212), we get a palindrome (933012323210339).

The spelling of 212011112100127 in words is "two hundred twelve trillion, eleven billion, one hundred twelve million, one hundred thousand, one hundred twenty-seven".