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12102310012221 = 321113411492276781
BaseRepresentation
bin1011000000011100100111…
…1000111010010100111101
31120211222011210102020002100
42300013021320322110331
53041241012330342341
641423420252415313
72356235344532352
oct260071170722475
946758153366070
1012102310012221
11394661954a310
121435613177539
1369a32096b760
142dba7d756629
1515ec1ed583b6
hexb01c9e3a53d

12102310012221 has 192 divisors, whose sum is σ = 21275795923200. Its totient is φ = 6531190272000.

The previous prime is 12102310012211. The next prime is 12102310012231. The reversal of 12102310012221 is 12221001320121.

12102310012221 is a `hidden beast` number, since 1 + 210 + 2 + 310 + 0 + 122 + 21 = 666.

12102310012221 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 (12102310012211) and next prime (12102310012231).

It is not a de Polignac number, because 12102310012221 - 217 = 12102309881149 is a prime.

It is a super-2 number, since 2×121023100122212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102310012194 and 12102310012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102310012211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1784734851 + ... + 1784741631.

It is an arithmetic number, because the mean of its divisors is an integer number (110811437100).

Almost surely, 212102310012221 is an apocalyptic number.

12102310012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102310012221 is a deficient number, since it is larger than the sum of its proper divisors (9173485910979).

12102310012221 is a wasteful number, since it uses less digits than its factorization.

12102310012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7225 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12102310012221 its reverse (12221001320121), we get a palindrome (24323311332342).

The spelling of 12102310012221 in words is "twelve trillion, one hundred two billion, three hundred ten million, twelve thousand, two hundred twenty-one".