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10101121212 = 22371323719231
BaseRepresentation
bin10010110100001001…
…01110000010111100
3222001222001010100110
421122010232002330
5131141341334322
64350154030020
7505213053660
oct113204560274
928058033313
1010101121212
114313901966
121b5aa18310
13c4c934400
146bb7668a0
153e1bd4c0c
hex25a12e0bc

10101121212 has 144 divisors (see below), whose sum is σ = 29957609472. Its totient is φ = 2591896320.

The previous prime is 10101121207. The next prime is 10101121213. The reversal of 10101121212 is 21212110101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101121213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515637 + ... + 534867.

Almost surely, 210101121212 is an apocalyptic number.

10101121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14978804736).

10101121212 is an abundant number, since it is smaller than the sum of its proper divisors (19856488260).

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

10101121212 is a wasteful number, since it uses less digits than its factorization.

10101121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19308 (or 19293 counting only the distinct ones).

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

Adding to 10101121212 its reverse (21212110101), we get a palindrome (31313231313).

The spelling of 10101121212 in words is "ten billion, one hundred one million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 169 182 222 259 273 338 364 444 481 507 518 546 676 777 962 1014 1036 1092 1183 1443 1554 1924 2028 2366 2886 3108 3367 3549 4732 5772 6253 6734 7098 10101 12506 13468 14196 18759 19231 20202 25012 37518 38462 40404 43771 57693 75036 76924 87542 115386 131313 134617 175084 230772 250003 262626 269234 403851 500006 525252 538468 711547 750009 807702 1000012 1423094 1500018 1615404 1750021 2134641 2846188 3000036 3250039 3500042 4269282 4980829 5250063 6500078 7000084 8538564 9250111 9750117 9961658 10500126 13000156 14942487 18500222 19500234 19923316 21000252 22750273 27750333 29884974 37000444 39000468 45500546 55500666 59769948 64750777 68250819 91001092 111001332 120251443 129501554 136501638 194252331 240502886 259003108 273003276 360754329 388504662 481005772 721508658 777009324 841760101 1443017316 1683520202 2525280303 3367040404 5050560606 10101121212