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202101101021 is a prime number
BaseRepresentation
bin1011110000111000101…
…0100001000111011101
3201022122202212200020202
42330032022201013131
511302400340213041
6232502143553245
720413153004651
oct2741612410735
9638582780222
10202101101021
117878a891526
12332032bb825
131609a704211
149ad3176a61
1553ccb57a9b
hex2f0e2a11dd

202101101021 has 2 divisors, whose sum is σ = 202101101022. Its totient is φ = 202101101020.

The previous prime is 202101100987. The next prime is 202101101023. The reversal of 202101101021 is 120101101202.

202101101021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188642548900 + 13458552121 = 434330^2 + 116011^2 .

It is a cyclic number.

It is not a de Polignac number, because 202101101021 - 210 = 202101099997 is a prime.

Together with 202101101023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 202101100993 and 202101101011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202101101023) 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, 101050550510 + 101050550511.

It is an arithmetic number, because the mean of its divisors is an integer number (101050550511).

Almost surely, 2202101101021 is an apocalyptic number.

It is an amenable number.

202101101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

202101101021 is an equidigital number, since it uses as much as digits as its factorization.

202101101021 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 11.

Adding to 202101101021 its reverse (120101101202), we get a palindrome (322202202223).

The spelling of 202101101021 in words is "two hundred two billion, one hundred one million, one hundred one thousand, twenty-one".