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12102102012121 = 112227440605163
BaseRepresentation
bin1011000000011011110101…
…1111011101000011011001
31120211221122022000201120221
42300012331133131003121
53041240101103341441
641423343502320041
72356230240545152
oct260067537350331
946757568021527
1012102102012121
1139465220a2800
121435575589021
1369a2b9842c84
142dba5dc90929
1515ec0b96d8d1
hexb01bd7dd0d9

12102102012121 has 12 divisors (see below), whose sum is σ = 13360910993136. Its totient is φ = 10953444327320.

The previous prime is 12102102012109. The next prime is 12102102012127. The reversal of 12102102012121 is 12121020120121.

It is not a de Polignac number, because 12102102012121 - 25 = 12102102012089 is a prime.

It is a super-2 number, since 2×121021020121212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12102102012095 and 12102102012104.

It is not an unprimeable number, because it can be changed into a prime (12102102012127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220275115 + ... + 220330048.

It is an arithmetic number, because the mean of its divisors is an integer number (1113409249428).

Almost surely, 212102102012121 is an apocalyptic number.

12102102012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102102012121 is a deficient number, since it is larger than the sum of its proper divisors (1258808981015).

12102102012121 is a wasteful number, since it uses less digits than its factorization.

12102102012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440605412 (or 440605401 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12102102012121 its reverse (12121020120121), we get a palindrome (24223122132242).

The spelling of 12102102012121 in words is "twelve trillion, one hundred two billion, one hundred two million, twelve thousand, one hundred twenty-one".

Divisors: 1 11 121 227 2497 27467 440605163 4846656793 53313224723 100017372001 1100191092011 12102102012121