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101001124125221 is a prime number
BaseRepresentation
bin10110111101110000101000…
…001000000001101000100101
3111020121121112222222102200012
4112331300220020001220211
5101214300300234001341
6554451135331100005
730163043003614265
oct2675605010015045
9436547488872605
10101001124125221
112a200377524a81
12b3b2840141605
13444849928b428
141ad26a26777a5
15ba240ea850eb
hex5bdc28201a25

101001124125221 has 2 divisors, whose sum is σ = 101001124125222. Its totient is φ = 101001124125220.

The previous prime is 101001124125169. The next prime is 101001124125247. The reversal of 101001124125221 is 122521421100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85124796216100 + 15876327909121 = 9226310^2 + 3984511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101001124125221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001124122221) 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, 50500562062610 + 50500562062611.

It is an arithmetic number, because the mean of its divisors is an integer number (50500562062611).

Almost surely, 2101001124125221 is an apocalyptic number.

It is an amenable number.

101001124125221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001124125221 is an equidigital number, since it uses as much as digits as its factorization.

101001124125221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 23.

Adding to 101001124125221 its reverse (122521421100101), we get a palindrome (223522545225322).

The spelling of 101001124125221 in words is "one hundred one trillion, one billion, one hundred twenty-four million, one hundred twenty-five thousand, two hundred twenty-one".