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12022100100221 = 1072411201388183
BaseRepresentation
bin1010111011110001110100…
…0000011000010001111101
31120120022010211022111221212
42232330131000120101331
53033432230111201341
641322513155534205
72350365563531411
oct256743500302175
946508124274855
1012022100100221
1139155a9100242
121421b68bba365
136928aa1bbb73
142d7c30b78d41
1515cac82235eb
hexaef1d01847d

12022100100221 has 16 divisors (see below), whose sum is σ = 12194983582848. Its totient is φ = 11850420096000.

The previous prime is 12022100100209. The next prime is 12022100100233. The reversal of 12022100100221 is 12200100122021.

12022100100221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12022100100209) and next prime (12022100100233).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12022100100221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12022100100196 and 12022100100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022100100251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30776096 + ... + 31164278.

It is an arithmetic number, because the mean of its divisors is an integer number (762186473928).

Almost surely, 212022100100221 is an apocalyptic number.

It is an amenable number.

12022100100221 is a deficient number, since it is larger than the sum of its proper divisors (172883482627).

12022100100221 is a wasteful number, since it uses less digits than its factorization.

12022100100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389732.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12022100100221 its reverse (12200100122021), we get a palindrome (24222200222242).

The spelling of 12022100100221 in words is "twelve trillion, twenty-two billion, one hundred million, one hundred thousand, two hundred twenty-one".

Divisors: 1 107 241 1201 25787 128507 289441 388183 30970187 41535581 93552103 466207783 10010075021 49884232781 112356075703 12022100100221