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12100101122 = 2137317139309
BaseRepresentation
bin10110100010011100…
…01110010000000010
31011020021110211021102
423101032032100002
5144240111213442
65320403054402
7605565106514
oct132116162002
934207424242
1012100101122
11514a21207a
122418371402
1311aab12365
1482b037bb4
154ac445232
hex2d138e402

12100101122 has 16 divisors (see below), whose sum is σ = 18340440120. Its totient is φ = 5986900608.

The previous prime is 12100101077. The next prime is 12100101127. The reversal of 12100101122 is 22110100121.

It can be written as a sum of positive squares in 4 ways, for example, as 9906021841 + 2194079281 = 99529^2 + 46841^2 .

It is not an unprimeable number, because it can be changed into a prime (12100101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17204 + ... + 156512.

Almost surely, 212100101122 is an apocalyptic number.

12100101122 is a deficient number, since it is larger than the sum of its proper divisors (6240338998).

12100101122 is a wasteful number, since it uses less digits than its factorization.

12100101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139765.

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

Adding to 12100101122 its reverse (22110100121), we get a palindrome (34210201243).

The spelling of 12100101122 in words is "twelve billion, one hundred million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 137 274 317 634 43429 86858 139309 278618 19085333 38170666 44160953 88321906 6050050561 12100101122