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22101122102021 is a prime number
BaseRepresentation
bin1010000011001110100011…
…00010000011001100000101
32220020211212012101101110122
411001213101202003030011
510344101044224231041
6115001040524431325
74440516260143634
oct501472142031405
986224765341418
1022101122102021
117051040284866
12258b4190a8545
13c44185976621
145659b2bc151b
15284d7a84cc4b
hex1419d1883305

22101122102021 has 2 divisors, whose sum is σ = 22101122102022. Its totient is φ = 22101122102020.

The previous prime is 22101122101969. The next prime is 22101122102027. The reversal of 22101122102021 is 12020122110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17742376108900 + 4358745993121 = 4212170^2 + 2087761^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101122102021 - 222 = 22101117907717 is a prime.

It is a super-2 number, since 2×221011221020212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22101122102027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050561051010 + 11050561051011.

It is an arithmetic number, because the mean of its divisors is an integer number (11050561051011).

Almost surely, 222101122102021 is an apocalyptic number.

It is an amenable number.

22101122102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101122102021 is an equidigital number, since it uses as much as digits as its factorization.

22101122102021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22101122102021 its reverse (12020122110122), we get a palindrome (34121244212143).

The spelling of 22101122102021 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-two million, one hundred two thousand, twenty-one".