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101140243121 is a prime number
BaseRepresentation
bin101111000110001101…
…1011010001010110001
3100200001122012200202102
41132030123122022301
53124113400234441
6114244014230145
710210230611321
oct1361433321261
9320048180672
10101140243121
1139991037695
12177277b5355
1396cab10808
144c76677281
15296e3be69b
hex178c6da2b1

101140243121 has 2 divisors, whose sum is σ = 101140243122. Its totient is φ = 101140243120.

The previous prime is 101140243103. The next prime is 101140243133. The reversal of 101140243121 is 121342041101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86178060721 + 14962182400 = 293561^2 + 122320^2 .

It is an emirp because it is prime and its reverse (121342041101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101140243121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101140243093 and 101140243102.

It is not a weakly prime, because it can be changed into another prime (101140243621) 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, 50570121560 + 50570121561.

It is an arithmetic number, because the mean of its divisors is an integer number (50570121561).

Almost surely, 2101140243121 is an apocalyptic number.

It is an amenable number.

101140243121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101140243121 is an equidigital number, since it uses as much as digits as its factorization.

101140243121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101140243121 its reverse (121342041101), we get a palindrome (222482284222).

The spelling of 101140243121 in words is "one hundred one billion, one hundred forty million, two hundred forty-three thousand, one hundred twenty-one".