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1111111010101 is a prime number
BaseRepresentation
bin10000001010110011011…
…000001000011100110101
310221012222020101120012101
4100022303120020130311
5121201023404310401
62210234245022101
7143163236520001
oct20126330103465
93835866346171
101111111010101
11399246220374
1215b4109b4931
1380a149cc971
143bac6dd3701
151dd8116c101
hex102b3608735

1111111010101 has 2 divisors, whose sum is σ = 1111111010102. Its totient is φ = 1111111010100.

The previous prime is 1111111010081. The next prime is 1111111010117. The reversal of 1111111010101 is 1010101111111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 625880347876 + 485230662225 = 791126^2 + 696585^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111111010101 - 219 = 1111110485813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1111111010501) 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, 555555505050 + 555555505051.

It is an arithmetic number, because the mean of its divisors is an integer number (555555505051).

Almost surely, 21111111010101 is an apocalyptic number.

It is an amenable number.

1111111010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111111010101 is an equidigital number, since it uses as much as digits as its factorization.

1111111010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 1111111010101 its reverse (1010101111111), we get a palindrome (2121212121212).

It can be divided in two parts, 1111111010 and 101, that added together give a palindrome (1111111111).

The spelling of 1111111010101 in words is "one trillion, one hundred eleven billion, one hundred eleven million, ten thousand, one hundred one".