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1020212101021 is a prime number
BaseRepresentation
bin11101101100010010110…
…00010011111110011101
310121112100100001112122011
432312021120103332131
5113203343244213041
62100402353551221
7133464543530161
oct16661130237635
93545310045564
101020212101021
11363740152613
12145882b75511
13752898a6729
1437542980ca1
151b810e2be81
hexed89613f9d

1020212101021 has 2 divisors, whose sum is σ = 1020212101022. Its totient is φ = 1020212101020.

The previous prime is 1020212101019. The next prime is 1020212101043. The reversal of 1020212101021 is 1201012120201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 529385752921 + 490826348100 = 727589^2 + 700590^2 .

It is an emirp because it is prime and its reverse (1201012120201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020212101021 - 21 = 1020212101019 is a prime.

Together with 1020212101019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1020212100992 and 1020212101010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020212101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510106050510 + 510106050511.

It is an arithmetic number, because the mean of its divisors is an integer number (510106050511).

Almost surely, 21020212101021 is an apocalyptic number.

It is an amenable number.

1020212101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020212101021 is an equidigital number, since it uses as much as digits as its factorization.

1020212101021 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 13.

Adding to 1020212101021 its reverse (1201012120201), we get a palindrome (2221224221222).

The spelling of 1020212101021 in words is "one trillion, twenty billion, two hundred twelve million, one hundred one thousand, twenty-one".