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12100042892261 is a prime number
BaseRepresentation
bin1011000000010100001011…
…0000100010001111100101
31120211202022210102121011102
42300011002300202033211
53041221341440023021
641422403304245445
72356125225403232
oct260050260421745
946752283377142
1012100042892261
113945665846555
12143509ba70885
1369a04c06945c
142db906606789
1515eb3acce00b
hexb0142c223e5

12100042892261 has 2 divisors, whose sum is σ = 12100042892262. Its totient is φ = 12100042892260.

The previous prime is 12100042892257. The next prime is 12100042892281. The reversal of 12100042892261 is 16229824000121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8005470407236 + 4094572485025 = 2829394^2 + 2023505^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100042892261 - 22 = 12100042892257 is a prime.

It is a super-2 number, since 2×121000428922612 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100042892281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050021446130 + 6050021446131.

It is an arithmetic number, because the mean of its divisors is an integer number (6050021446131).

Almost surely, 212100042892261 is an apocalyptic number.

It is an amenable number.

12100042892261 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100042892261 is an equidigital number, since it uses as much as digits as its factorization.

12100042892261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 38.

Adding to 12100042892261 its reverse (16229824000121), we get a palindrome (28329866892382).

The spelling of 12100042892261 in words is "twelve trillion, one hundred billion, forty-two million, eight hundred ninety-two thousand, two hundred sixty-one".