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102102012120012 = 22347181031936383
BaseRepresentation
bin10111001101110001111010…
…001010011100101111001100
3111101111212010202222000020220
4113031301322022130233030
5101340314410100320022
61001053003345311340
730335425020310032
oct2715617212345714
9441455122860226
10102102012120012
112a595247058663
12b550079335550
1344c82420188b8
141b2da99a54552
15bc0d9349085c
hex5cdc7a29cbcc

102102012120012 has 24 divisors (see below), whose sum is σ = 243306922500096. Its totient is φ = 33309876294288.

The previous prime is 102102012119981. The next prime is 102102012120013. The reversal of 102102012120012 is 210021210201201.

102102012120012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102102012119973 and 102102012120000.

It is not an unprimeable number, because it can be changed into a prime (102102012120013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90515967628 + ... + 90515968755.

It is an arithmetic number, because the mean of its divisors is an integer number (10137788437504).

Almost surely, 2102102012120012 is an apocalyptic number.

102102012120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102012120012 is an abundant number, since it is smaller than the sum of its proper divisors (141204910380084).

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

102102012120012 is a wasteful number, since it uses less digits than its factorization.

102102012120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181031936437 (or 181031936435 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102102012120012 its reverse (210021210201201), we get a palindrome (312123222321213).

The spelling of 102102012120012 in words is "one hundred two trillion, one hundred two billion, twelve million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 181031936383 362063872766 543095809149 724127745532 1086191618298 2172383236596 8508501010001 17017002020002 25525503030003 34034004040004 51051006060006 102102012120012