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12102102101112 = 23310337313125127
BaseRepresentation
bin1011000000011011110101…
…1111110010110001111000
31120211221122022012020122220
42300012331133302301320
53041240101114213422
641423343504244040
72356230241365462
oct260067537626170
946757568166586
1012102102101112
113946522153651
121435575610620
1369a2b987462a
142dba5dcb5132
1515ec0b989e5c
hexb01bd7f2c78

12102102101112 has 64 divisors (see below), whose sum is σ = 30630898721280. Its totient is φ = 3984158247552.

The previous prime is 12102102101107. The next prime is 12102102101161. The reversal of 12102102101112 is 21110120120121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12102102101091 and 12102102101100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5640508 + ... + 7484619.

It is an arithmetic number, because the mean of its divisors is an integer number (478607792520).

Almost surely, 212102102101112 is an apocalyptic number.

12102102101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12102102101112 is an abundant number, since it is smaller than the sum of its proper divisors (18528796620168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102102101112 is a wasteful number, since it uses less digits than its factorization.

12102102101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13125612 (or 13125608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12102102101112 its reverse (21110120120121), we get a palindrome (33212222221233).

The spelling of 12102102101112 in words is "twelve trillion, one hundred two billion, one hundred two million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 373 412 618 746 824 1119 1236 1492 2238 2472 2984 4476 8952 38419 76838 115257 153676 230514 307352 461028 922056 13125127 26250254 39375381 52500508 78750762 105001016 157501524 315003048 1351888081 2703776162 4055664243 4895672371 5407552324 8111328486 9791344742 10815104648 14687017113 16222656972 19582689484 29374034226 32445313944 39165378968 58748068452 117496136904 504254254213 1008508508426 1512762762639 2017017016852 3025525525278 4034034033704 6051051050556 12102102101112