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12000211102001 is a prime number
BaseRepresentation
bin1010111010100000010001…
…0100011110100100110001
31120111012122100022012022002
42232220010110132210301
53033102413020231001
641304453150423345
72345662263236153
oct256500424364461
946435570265262
1012000211102001
11390729635a971
12141987a501b55
136907cc363205
142d6b55a50ad3
1515c24671e46b
hexaea0451e931

12000211102001 has 2 divisors, whose sum is σ = 12000211102002. Its totient is φ = 12000211102000.

The previous prime is 12000211101979. The next prime is 12000211102073. The reversal of 12000211102001 is 10020111200021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8736132933025 + 3264078168976 = 2955695^2 + 1806676^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000211102001 - 238 = 11725333195057 is a prime.

It is not a weakly prime, because it can be changed into another prime (12000211102091) 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, 6000105551000 + 6000105551001.

It is an arithmetic number, because the mean of its divisors is an integer number (6000105551001).

Almost surely, 212000211102001 is an apocalyptic number.

It is an amenable number.

12000211102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000211102001 is an equidigital number, since it uses as much as digits as its factorization.

12000211102001 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 12000211102001 its reverse (10020111200021), we get a palindrome (22020322302022).

The spelling of 12000211102001 in words is "twelve trillion, two hundred eleven million, one hundred two thousand, one".