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2210010100021 is a prime number
BaseRepresentation
bin100000001010001110110…
…111011111000100110101
321211021102101220022012201
4200022032313133010311
5242202100041200041
64411133054144501
7315445052621113
oct40121667370465
97737371808181
102210010100021
117822950a5319
122b8393ab2131
13130531698c49
1478d721a2ab3
153c74a157631
hex2028eddf135

2210010100021 has 2 divisors, whose sum is σ = 2210010100022. Its totient is φ = 2210010100020.

The previous prime is 2210010100009. The next prime is 2210010100033. The reversal of 2210010100021 is 1200010100122.

2210010100021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (2210010100009) and next prime (2210010100033).

It can be written as a sum of positive squares in only one way, i.e., 2178912540996 + 31097559025 = 1476114^2 + 176345^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210010100021 - 227 = 2209875882293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210010099980 and 2210010100007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210010100421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105005050010 + 1105005050011.

It is an arithmetic number, because the mean of its divisors is an integer number (1105005050011).

Almost surely, 22210010100021 is an apocalyptic number.

It is an amenable number.

2210010100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210010100021 is an equidigital number, since it uses as much as digits as its factorization.

2210010100021 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 10.

Adding to 2210010100021 its reverse (1200010100122), we get a palindrome (3410020200143).

The spelling of 2210010100021 in words is "two trillion, two hundred ten billion, ten million, one hundred thousand, twenty-one".