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101212120213 is a prime number
BaseRepresentation
bin101111001000010110…
…1100110010010010101
3100200020122110102120221
41132100231212102111
53124240300321323
6114255102554341
710212062553451
oct1362055462225
9320218412527
10101212120213
1139a1866aa46
12177478989b1
13970c988839
144c82027661
15297586b55d
hex1790b66495

101212120213 has 2 divisors, whose sum is σ = 101212120214. Its totient is φ = 101212120212.

The previous prime is 101212120169. The next prime is 101212120231. The reversal of 101212120213 is 312021212101.

Together with next prime (101212120231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92183889924 + 9028230289 = 303618^2 + 95017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101212120213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101212120613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606060106 + 50606060107.

It is an arithmetic number, because the mean of its divisors is an integer number (50606060107).

Almost surely, 2101212120213 is an apocalyptic number.

It is an amenable number.

101212120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212120213 is an equidigital number, since it uses as much as digits as its factorization.

101212120213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101212120213 its reverse (312021212101), we get a palindrome (413233332314).

The spelling of 101212120213 in words is "one hundred one billion, two hundred twelve million, one hundred twenty thousand, two hundred thirteen".