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1012221210001 is a prime number
BaseRepresentation
bin11101011101011010001…
…01011110110110010001
310120202201102210012220111
432232231011132312101
5113041012112210001
62053001421241321
7133062533215621
oct16565505366621
93522642705814
101012221210001
1136030a536951
12144212a03241
13745b5202751
1436dc55a8881
151b4e4630851
hexebad15ed91

1012221210001 has 2 divisors, whose sum is σ = 1012221210002. Its totient is φ = 1012221210000.

The previous prime is 1012221209959. The next prime is 1012221210083. The reversal of 1012221210001 is 1000121222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 909228996225 + 102992213776 = 953535^2 + 320924^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012221210001 - 211 = 1012221207953 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012221210901) 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, 506110605000 + 506110605001.

It is an arithmetic number, because the mean of its divisors is an integer number (506110605001).

Almost surely, 21012221210001 is an apocalyptic number.

It is an amenable number.

1012221210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012221210001 is an equidigital number, since it uses as much as digits as its factorization.

1012221210001 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 1012221210001 its reverse (1000121222101), we get a palindrome (2012342432102).

The spelling of 1012221210001 in words is "one trillion, twelve billion, two hundred twenty-one million, two hundred ten thousand, one".