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221012001120121 is a prime number
BaseRepresentation
bin110010010000001001011101…
…110100010101111101111001
31001222112112121100202001120121
4302100021131310111331321
5212432030034241320441
62102015302303453241
764360406264046031
oct6220113564257571
91058475540661517
10221012001120121
116446a732952472
1220955733bb7221
13964245aca5a53
143c810761188c1
151a8406907ddd1
hexc9025dd15f79

221012001120121 has 2 divisors, whose sum is σ = 221012001120122. Its totient is φ = 221012001120120.

The previous prime is 221012001120109. The next prime is 221012001120133. The reversal of 221012001120121 is 121021100210122.

It is a balanced prime because it is at equal distance from previous prime (221012001120109) and next prime (221012001120133).

It can be written as a sum of positive squares in only one way, i.e., 211272358814521 + 9739642305600 = 14535211^2 + 3120840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221012001120121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221012001120095 and 221012001120104.

It is not a weakly prime, because it can be changed into another prime (221012001160121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110506000560060 + 110506000560061.

It is an arithmetic number, because the mean of its divisors is an integer number (110506000560061).

Almost surely, 2221012001120121 is an apocalyptic number.

It is an amenable number.

221012001120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221012001120121 is an equidigital number, since it uses as much as digits as its factorization.

221012001120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221012001120121 its reverse (121021100210122), we get a palindrome (342033101330243).

Subtracting from 221012001120121 its reverse (121021100210122), we obtain a palindrome (99990900909999).

The spelling of 221012001120121 in words is "two hundred twenty-one trillion, twelve billion, one million, one hundred twenty thousand, one hundred twenty-one".