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12210100081 is a prime number
BaseRepresentation
bin10110101111100011…
…10101011101110001
31011111221110100110221
423113301311131301
5200001241200311
65335332453041
7611402065264
oct132761653561
934457410427
1012210100081
1151a6312a03
12244917a181
1311c78470ba
1483b8accdb
154b6e22671
hex2d7c75771

12210100081 has 2 divisors, whose sum is σ = 12210100082. Its totient is φ = 12210100080.

The previous prime is 12210100013. The next prime is 12210100109. The reversal of 12210100081 is 18000101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12191472225 + 18627856 = 110415^2 + 4316^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210100081 - 29 = 12210099569 is a prime.

It is a super-2 number, since 2×122101000812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12210100481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105050040 + 6105050041.

It is an arithmetic number, because the mean of its divisors is an integer number (6105050041).

Almost surely, 212210100081 is an apocalyptic number.

It is an amenable number.

12210100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210100081 is an equidigital number, since it uses as much as digits as its factorization.

12210100081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 12210100081 in words is "twelve billion, two hundred ten million, one hundred thousand, eighty-one".