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201020101021 is a prime number
BaseRepresentation
bin1011101100110110111…
…0110101000110011101
3201012212102210012000201
42323031232311012131
511243142121213041
6232203010223501
720344315444315
oct2731556650635
9635772705021
10201020101021
11782856741a3
1232b61284b91
1315c5777674c
149a2d782445
155367cc6631
hex2ecdbb519d

201020101021 has 2 divisors, whose sum is σ = 201020101022. Its totient is φ = 201020101020.

The previous prime is 201020101019. The next prime is 201020101043. The reversal of 201020101021 is 120101020102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166521124900 + 34498976121 = 408070^2 + 185739^2 .

It is a cyclic number.

It is not a de Polignac number, because 201020101021 - 21 = 201020101019 is a prime.

Together with 201020101019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 201020100989 and 201020101007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201020101081) 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, 100510050510 + 100510050511.

It is an arithmetic number, because the mean of its divisors is an integer number (100510050511).

Almost surely, 2201020101021 is an apocalyptic number.

It is an amenable number.

201020101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

201020101021 is an equidigital number, since it uses as much as digits as its factorization.

201020101021 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 201020101021 its reverse (120101020102), we get a palindrome (321121121123).

The spelling of 201020101021 in words is "two hundred one billion, twenty million, one hundred one thousand, twenty-one".