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22101122000101 is a prime number
BaseRepresentation
bin1010000011001110100011…
…00001101010010011100101
32220020211212012012012122211
411001213101201222103211
510344101044213000401
6115001040522323421
74440516256240534
oct501472141522345
986224765165584
1022101122000101
117051040215231
12258b419059571
13c4418593c111
145659b2b9631b
15284d7a82c951
hex1419d186a4e5

22101122000101 has 2 divisors, whose sum is σ = 22101122000102. Its totient is φ = 22101122000100.

The previous prime is 22101122000063. The next prime is 22101122000131. The reversal of 22101122000101 is 10100022110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21824734173025 + 276387827076 = 4671695^2 + 525726^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101122000101 - 231 = 22098974516453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22101122000131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050561000050 + 11050561000051.

It is an arithmetic number, because the mean of its divisors is an integer number (11050561000051).

Almost surely, 222101122000101 is an apocalyptic number.

It is an amenable number.

22101122000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101122000101 is an equidigital number, since it uses as much as digits as its factorization.

22101122000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22101122000101 its reverse (10100022110122), we get a palindrome (32201144110223).

The spelling of 22101122000101 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.