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2211021101021 is a prime number
BaseRepresentation
bin100000001011001011001…
…000001001011111011101
321211101000212021110212012
4200023023020021133131
5242211132400213041
64411421251321005
7315512110160645
oct40131310113735
97741025243765
102211021101021
11782763852337
122b86165b0165
13130662c884a5
147902a575525
153c7a8cad3eb
hex202cb2097dd

2211021101021 has 2 divisors, whose sum is σ = 2211021101022. Its totient is φ = 2211021101020.

The previous prime is 2211021100997. The next prime is 2211021101071. The reversal of 2211021101021 is 1201011201122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2071080765625 + 139940335396 = 1439125^2 + 374086^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211021101021 - 210 = 2211021099997 is a prime.

It is a super-2 number, since 2×22110211010212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2211021100987 and 2211021101005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211021101071) 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, 1105510550510 + 1105510550511.

It is an arithmetic number, because the mean of its divisors is an integer number (1105510550511).

Almost surely, 22211021101021 is an apocalyptic number.

It is an amenable number.

2211021101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211021101021 is an equidigital number, since it uses as much as digits as its factorization.

2211021101021 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 14.

Adding to 2211021101021 its reverse (1201011201122), we get a palindrome (3412032302143).

The spelling of 2211021101021 in words is "two trillion, two hundred eleven billion, twenty-one million, one hundred one thousand, twenty-one".