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1020201010007 is a prime number
BaseRepresentation
bin11101101100010001011…
…10000000001101010111
310121112022120012001121212
432312020232000031113
5113203332424310012
62100401320132035
7133464350334644
oct16661056001527
93545276161555
101020201010007
11363734967793
1214587b30701b
13752874c23ba
14375412d4dcb
151b80ee8ab22
hexed88b80357

1020201010007 has 2 divisors, whose sum is σ = 1020201010008. Its totient is φ = 1020201010006.

The previous prime is 1020201009917. The next prime is 1020201010021. The reversal of 1020201010007 is 7000101020201.

It is an a-pointer prime, because the next prime (1020201010021) can be obtained adding 1020201010007 to its sum of digits (14).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1020201010007 - 212 = 1020201005911 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020201009973 and 1020201010000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020201010067) 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, 510100505003 + 510100505004.

It is an arithmetic number, because the mean of its divisors is an integer number (510100505004).

Almost surely, 21020201010007 is an apocalyptic number.

1020201010007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020201010007 is an equidigital number, since it uses as much as digits as its factorization.

1020201010007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 1020201010007 its reverse (7000101020201), we get a palindrome (8020302030208).

The spelling of 1020201010007 in words is "one trillion, twenty billion, two hundred one million, ten thousand, seven".