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10022021021101 is a prime number
BaseRepresentation
bin1001000111010110111100…
…0000001011110110101101
31022111002120212200000211111
42101311233000023312231
52303200044340133401
633152015231552021
72053032011054065
oct221655700136655
938432525600744
1010022021021101
113214351658111
12115a40268b611
135790c345a61b
142690d59c23a5
15125a68324e51
hex91d6f00bdad

10022021021101 has 2 divisors, whose sum is σ = 10022021021102. Its totient is φ = 10022021021100.

The previous prime is 10022021021099. The next prime is 10022021021107. The reversal of 10022021021101 is 10112012022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8315875643076 + 1706145378025 = 2883726^2 + 1306195^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022021021101 - 21 = 10022021021099 is a prime.

Together with 10022021021099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022021021107) 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, 5011010510550 + 5011010510551.

It is an arithmetic number, because the mean of its divisors is an integer number (5011010510551).

Almost surely, 210022021021101 is an apocalyptic number.

It is an amenable number.

10022021021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022021021101 is an equidigital number, since it uses as much as digits as its factorization.

10022021021101 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 10022021021101 its reverse (10112012022001), we get a palindrome (20134033043102).

The spelling of 10022021021101 in words is "ten trillion, twenty-two billion, twenty-one million, twenty-one thousand, one hundred one".