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106212001201 is a prime number
BaseRepresentation
bin110001011101010111…
…0101000010110110001
3101011011002121200220021
41202322232220112301
53220010233014301
6120443151443441
710450014054115
oct1427256502661
9334132550807
10106212001201
11410539a6599
1218702226581
13a0287a51b7
1451d8097745
152b6979c8a1
hex18baba85b1

106212001201 has 2 divisors, whose sum is σ = 106212001202. Its totient is φ = 106212001200.

The previous prime is 106212001153. The next prime is 106212001237. The reversal of 106212001201 is 102100212601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88313574976 + 17898426225 = 297176^2 + 133785^2 .

It is a cyclic number.

It is not a de Polignac number, because 106212001201 - 219 = 106211476913 is a prime.

It is a super-2 number, since 2×1062120012012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106212001241) 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, 53106000600 + 53106000601.

It is an arithmetic number, because the mean of its divisors is an integer number (53106000601).

Almost surely, 2106212001201 is an apocalyptic number.

It is an amenable number.

106212001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

106212001201 is an equidigital number, since it uses as much as digits as its factorization.

106212001201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 106212001201 its reverse (102100212601), we get a palindrome (208312213802).

The spelling of 106212001201 in words is "one hundred six billion, two hundred twelve million, one thousand, two hundred one".