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20011121101 is a prime number
BaseRepresentation
bin10010101000110000…
…010111100111001101
31220122121110021112101
4102220300113213031
5311440321333401
613105403435101
71305615502636
oct225060274715
956577407471
1020011121101
118539835514
123a65825a91
131b6ba9c87a
14d7b97c88d
157c1c16101
hex4a8c179cd

20011121101 has 2 divisors, whose sum is σ = 20011121102. Its totient is φ = 20011121100.

The previous prime is 20011121077. The next prime is 20011121113. The reversal of 20011121101 is 10112111002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19349088201 + 662032900 = 139101^2 + 25730^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011121101 - 27 = 20011120973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20011121171) 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, 10005560550 + 10005560551.

It is an arithmetic number, because the mean of its divisors is an integer number (10005560551).

Almost surely, 220011121101 is an apocalyptic number.

It is an amenable number.

20011121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011121101 is an equidigital number, since it uses as much as digits as its factorization.

20011121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20011121101 its reverse (10112111002), we get a palindrome (30123232103).

The spelling of 20011121101 in words is "twenty billion, eleven million, one hundred twenty-one thousand, one hundred one".