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1010010101029 is a prime number
BaseRepresentation
bin11101011001010010100…
…10110001010100100101
310120120000100012020121121
432230221102301110211
5113022000041213104
62051554153413541
7132653664131026
oct16545122612445
93516010166547
101010010101029
1135a385409a66
121438b640a2b1
13743220b1847
1436c55a78c4d
151b41546c254
hexeb294b1525

1010010101029 has 2 divisors, whose sum is σ = 1010010101030. Its totient is φ = 1010010101028.

The previous prime is 1010010100997. The next prime is 1010010101071. The reversal of 1010010101029 is 9201010100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 931890969025 + 78119132004 = 965345^2 + 279498^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010010101029 - 25 = 1010010100997 is a prime.

It is a super-2 number, since 2×10100101010292 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010010101329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005050514 + 505005050515.

It is an arithmetic number, because the mean of its divisors is an integer number (505005050515).

Almost surely, 21010010101029 is an apocalyptic number.

It is an amenable number.

1010010101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010101029 is an equidigital number, since it uses as much as digits as its factorization.

1010010101029 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 1010010101029 in words is "one trillion, ten billion, ten million, one hundred one thousand, twenty-nine".