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10021201221167 is a prime number
BaseRepresentation
bin1001000111010011111000…
…1000111001011000101111
31022111000110202001212201222
42101310332020321120233
52303141410003034132
633151402024453555
72053002464633603
oct221647610713057
938430422055658
1010021201221167
113213a70923304
12115a21401a2bb
13578cc26643c6
14269058b81503
15125a1b38b412
hex91d3e23962f

10021201221167 has 2 divisors, whose sum is σ = 10021201221168. Its totient is φ = 10021201221166.

The previous prime is 10021201221061. The next prime is 10021201221169. The reversal of 10021201221167 is 76112210212001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10021201221167 - 236 = 9952481744431 is a prime.

Together with 10021201221169, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021201221169) 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, 5010600610583 + 5010600610584.

It is an arithmetic number, because the mean of its divisors is an integer number (5010600610584).

Almost surely, 210021201221167 is an apocalyptic number.

10021201221167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021201221167 is an equidigital number, since it uses as much as digits as its factorization.

10021201221167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 10021201221167 its reverse (76112210212001), we get a palindrome (86133411433168).

The spelling of 10021201221167 in words is "ten trillion, twenty-one billion, two hundred one million, two hundred twenty-one thousand, one hundred sixty-seven".