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100120222121 is a prime number
BaseRepresentation
bin101110100111110100…
…0010101100110101001
3100120102112212020222212
41131033220111212221
53120021234101441
6113554455454505
710143033563213
oct1351750254651
9316375766885
10100120222121
1139508289827
12174a2087435
1395976b37aa
144bbadd75b3
15290ea85eeb
hex174fa159a9

100120222121 has 2 divisors, whose sum is σ = 100120222122. Its totient is φ = 100120222120.

The previous prime is 100120222109. The next prime is 100120222129. The reversal of 100120222121 is 121222021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93880960000 + 6239262121 = 306400^2 + 78989^2 .

It is an emirp because it is prime and its reverse (121222021001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100120222121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120222096 and 100120222105.

It is not a weakly prime, because it can be changed into another prime (100120222129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060111060 + 50060111061.

It is an arithmetic number, because the mean of its divisors is an integer number (50060111061).

Almost surely, 2100120222121 is an apocalyptic number.

It is an amenable number.

100120222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120222121 is an equidigital number, since it uses as much as digits as its factorization.

100120222121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100120222121 its reverse (121222021001), we get a palindrome (221342243122).

The spelling of 100120222121 in words is "one hundred billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty-one".