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12120102101 is a prime number
BaseRepresentation
bin10110100100110101…
…00001010011010101
31011021200002222110102
423102122201103111
5144310221231401
65322355503445
7606230111432
oct132232412325
934250088412
1012120102101
11515a533108
122422bb7b85
1311b1cc6063
1482d962b89
154ae09656b
hex2d26a14d5

12120102101 has 2 divisors, whose sum is σ = 12120102102. Its totient is φ = 12120102100.

The previous prime is 12120102079. The next prime is 12120102131. The reversal of 12120102101 is 10120102121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10276687876 + 1843414225 = 101374^2 + 42935^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120102101 - 218 = 12119839957 is a prime.

It is a super-2 number, since 2×121201021012 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120102131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060051050 + 6060051051.

It is an arithmetic number, because the mean of its divisors is an integer number (6060051051).

Almost surely, 212120102101 is an apocalyptic number.

It is an amenable number.

12120102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120102101 is an equidigital number, since it uses as much as digits as its factorization.

12120102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12120102101 its reverse (10120102121), we get a palindrome (22240204222).

The spelling of 12120102101 in words is "twelve billion, one hundred twenty million, one hundred two thousand, one hundred one".