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110101010029 is a prime number
BaseRepresentation
bin110011010001010001…
…0000001011001101101
3101112012010110211002021
41212202202001121231
53300441324310104
6122325114430141
710645256100223
oct1464242013155
9345163424067
10110101010029
114276a17147a
1219408732351
13a4c840535a
145486798b13
152ce5deb754
hex19a288166d

110101010029 has 2 divisors, whose sum is σ = 110101010030. Its totient is φ = 110101010028.

The previous prime is 110101010027. The next prime is 110101010039. The reversal of 110101010029 is 920010101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103600296900 + 6500713129 = 321870^2 + 80627^2 .

It is an emirp because it is prime and its reverse (920010101011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110101010029 - 21 = 110101010027 is a prime.

Together with 110101010027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 110101009994 and 110101010021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101010027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050505014 + 55050505015.

It is an arithmetic number, because the mean of its divisors is an integer number (55050505015).

Almost surely, 2110101010029 is an apocalyptic number.

It is an amenable number.

110101010029 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101010029 is an equidigital number, since it uses as much as digits as its factorization.

110101010029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

It can be divided in two parts, 11010101002 and 9, that added together give a palindrome (11010101011).

The spelling of 110101010029 in words is "one hundred ten billion, one hundred one million, ten thousand, twenty-nine".