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12002101100121 = 31116716529131759
BaseRepresentation
bin1010111010100111010011…
…1110001111111001011001
31120111101112001200001022110
42232221310332033321121
53033120300340200441
641305404503542533
72346060153040566
oct256516476177131
946441461601273
1012002101100121
1139080761a4490
12141a10745aa49
13690a40aa43b2
142d6c94a7386d
1515c307603b16
hexaea74f8fe59

12002101100121 has 32 divisors (see below), whose sum is σ = 17563333939200. Its totient is φ = 7229951463680.

The previous prime is 12002101100113. The next prime is 12002101100141. The reversal of 12002101100121 is 12100110120021.

It is not a de Polignac number, because 12002101100121 - 23 = 12002101100113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002101100097 and 12002101100106.

It is not an unprimeable number, because it can be changed into a prime (12002101100111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91025440 + ... + 91157198.

It is an arithmetic number, because the mean of its divisors is an integer number (548854185600).

Almost surely, 212002101100121 is an apocalyptic number.

12002101100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002101100121 is a deficient number, since it is larger than the sum of its proper divisors (5561232839079).

12002101100121 is a wasteful number, since it uses less digits than its factorization.

12002101100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148469.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12002101100121 its reverse (12100110120021), we get a palindrome (24102211220142).

The spelling of 12002101100121 in words is "twelve trillion, two billion, one hundred one million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 11 33 167 501 1837 5511 16529 49587 131759 181819 395277 545457 1449349 2760343 4348047 8281029 22003753 30363773 66011259 91091319 242041283 726123849 2177844511 6533533533 23956289621 71868868863 363700033337 1091100100011 4000700366707 12002101100121