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1010110000121 is a prime number
BaseRepresentation
bin11101011001011110011…
…11110110101111111001
310120120021022011122101222
432230233033312233321
5113022201130000441
62052012122521425
7132656316223025
oct16545717665771
93516238148358
101010110000121
1135a4268416a2
12143923966275
13743399bb431
1436c65041385
151b41e101d4b
hexeb2f3f6bf9

1010110000121 has 2 divisors, whose sum is σ = 1010110000122. Its totient is φ = 1010110000120.

The previous prime is 1010110000087. The next prime is 1010110000129. The reversal of 1010110000121 is 1210000110101.

It is a happy number.

It is an a-pointer prime, because the next prime (1010110000129) can be obtained adding 1010110000121 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002523590121 + 7586410000 = 1001261^2 + 87100^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010110000121 - 26 = 1010110000057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010110000099 and 1010110000108.

It is not a weakly prime, because it can be changed into another prime (1010110000129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055000060 + 505055000061.

It is an arithmetic number, because the mean of its divisors is an integer number (505055000061).

Almost surely, 21010110000121 is an apocalyptic number.

It is an amenable number.

1010110000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110000121 is an equidigital number, since it uses as much as digits as its factorization.

1010110000121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010110000121 its reverse (1210000110101), we get a palindrome (2220110110222).

The spelling of 1010110000121 in words is "one trillion, ten billion, one hundred ten million, one hundred twenty-one", and thus it is an aban number.