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1000122121013 is a prime number
BaseRepresentation
bin11101000110110111110…
…11000111101100110101
310112121111020012211000112
432203123323013230311
5112341222230333023
62043241051552405
7132153646522661
oct16433373075465
93477436184015
101000122121013
11356170956254
121419b6a5b705
1373407685cb2
14365987558a1
151b03733a478
hexe8dbec7b35

1000122121013 has 2 divisors, whose sum is σ = 1000122121014. Its totient is φ = 1000122121012.

The previous prime is 1000122121003. The next prime is 1000122121121. The reversal of 1000122121013 is 3101212210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 832924546609 + 167197574404 = 912647^2 + 408898^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000122121013 - 24 = 1000122120997 is a prime.

It is a super-2 number, since 2×10001221210132 (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 (1000122121003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500061060506 + 500061060507.

It is an arithmetic number, because the mean of its divisors is an integer number (500061060507).

Almost surely, 21000122121013 is an apocalyptic number.

It is an amenable number.

1000122121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000122121013 is an equidigital number, since it uses as much as digits as its factorization.

1000122121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1000122121013 its reverse (3101212210001), we get a palindrome (4101334331014).

The spelling of 1000122121013 in words is "one trillion, one hundred twenty-two million, one hundred twenty-one thousand, thirteen".