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2221210102081 is a prime number
BaseRepresentation
bin100000010100101010011…
…100000110100101000001
321212100022221200100200211
4200110222130012211001
5242343014241231311
64420224305114121
7316322441230255
oct40245234064501
97770287610624
102221210102081
11787012217673
122ba59a928941
131315c7b7b7b9
1479715856265
153cba3551821
hex2052a706941

2221210102081 has 2 divisors, whose sum is σ = 2221210102082. Its totient is φ = 2221210102080.

The previous prime is 2221210102063. The next prime is 2221210102121. The reversal of 2221210102081 is 1802010121222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1158680016400 + 1062530085681 = 1076420^2 + 1030791^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221210102081 - 27 = 2221210101953 is a prime.

It is a super-2 number, since 2×22212101020812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2221210102031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110605051040 + 1110605051041.

It is an arithmetic number, because the mean of its divisors is an integer number (1110605051041).

Almost surely, 22221210102081 is an apocalyptic number.

It is an amenable number.

2221210102081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221210102081 is an equidigital number, since it uses as much as digits as its factorization.

2221210102081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 2221210102081 in words is "two trillion, two hundred twenty-one billion, two hundred ten million, one hundred two thousand, eighty-one".