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1020221210209 is a prime number
BaseRepresentation
bin11101101100010011110…
…11000011111001100001
310121112100222012100002111
432312021323003321201
5113203403112211314
62100403321115321
7133465014126445
oct16661173037141
93545328170074
101020221210209
11363745304473
12145886028b41
137528b745996
1437543c72825
151b811b2aec4
hexed89ec3e61

1020221210209 has 2 divisors, whose sum is σ = 1020221210210. Its totient is φ = 1020221210208.

The previous prime is 1020221210207. The next prime is 1020221210213. The reversal of 1020221210209 is 9020121220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1005166656400 + 15054553809 = 1002580^2 + 122697^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020221210209 - 21 = 1020221210207 is a prime.

Together with 1020221210207, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1020221210209.

It is not a weakly prime, because it can be changed into another prime (1020221210207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510110605104 + 510110605105.

It is an arithmetic number, because the mean of its divisors is an integer number (510110605105).

Almost surely, 21020221210209 is an apocalyptic number.

It is an amenable number.

1020221210209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020221210209 is an equidigital number, since it uses as much as digits as its factorization.

1020221210209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 1020221210209 in words is "one trillion, twenty billion, two hundred twenty-one million, two hundred ten thousand, two hundred nine".