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101000121199853 is a prime number
BaseRepresentation
bin10110111101101111101100…
…010110001010110011101101
3111020121111222002210112201012
4112331233230112022303231
5101214241222011343403
6554450452022555005
730163006105110521
oct2675575426126355
9436544862715635
10101000121199853
112a1aaa02393337
12b3b2600298a65
134448369568875
141ad26093a7d81
15ba23a19c6ed8
hex5bdbec58aced

101000121199853 has 2 divisors, whose sum is σ = 101000121199854. Its totient is φ = 101000121199852.

The previous prime is 101000121199849. The next prime is 101000121199903. The reversal of 101000121199853 is 358991121000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79232839046089 + 21767282153764 = 8901283^2 + 4665542^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000121199853 - 22 = 101000121199849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000121199853.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000121199843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500060599926 + 50500060599927.

It is an arithmetic number, because the mean of its divisors is an integer number (50500060599927).

Almost surely, 2101000121199853 is an apocalyptic number.

It is an amenable number.

101000121199853 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000121199853 is an equidigital number, since it uses as much as digits as its factorization.

101000121199853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 41.

Adding to 101000121199853 its reverse (358991121000101), we get a palindrome (459991242199954).

The spelling of 101000121199853 in words is "one hundred one trillion, one hundred twenty-one million, one hundred ninety-nine thousand, eight hundred fifty-three".