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102110121001212 = 22330014185167751
BaseRepresentation
bin10111001101111001011101…
…011111011000000011111100
3111101112122001220020212002020
4113031321131133120003330
5101340433011434014322
61001100424135000140
730336132662542062
oct2715713537300374
9441478056225066
10102110121001212
112a598728333075
12b551760b09050
1344c8c34c91a5c
141b30228982032
15bc11ba2e705c
hex5cde5d7d80fc

102110121001212 has 48 divisors (see below), whose sum is σ = 238345554311424. Its totient is φ = 34024050000000.

The previous prime is 102110121001151. The next prime is 102110121001271. The reversal of 102110121001212 is 212100121011201.

It is a happy number.

102110121001212 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 = 102110121001191 and 102110121001200.

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, 1507104337 + ... + 1507172087.

It is an arithmetic number, because the mean of its divisors is an integer number (4965532381488).

Almost surely, 2102110121001212 is an apocalyptic number.

102110121001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102110121001212 is an abundant number, since it is smaller than the sum of its proper divisors (136235433310212).

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

102110121001212 is a wasteful number, since it uses less digits than its factorization.

102110121001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112610 (or 112608 counting only the distinct ones).

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

Adding to 102110121001212 its reverse (212100121011201), we get a palindrome (314210242012413).

The spelling of 102110121001212 in words is "one hundred two trillion, one hundred ten billion, one hundred twenty-one million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 3001 6002 9003 12004 18006 36012 41851 67751 83702 125553 135502 167404 203253 251106 271004 406506 502212 813012 125594851 203320751 251189702 376784553 406641502 502379404 609962253 753569106 813283004 1219924506 1507138212 2439849012 2835447101 5670894202 8506341303 11341788404 17012682606 34025365212 8509176750101 17018353500202 25527530250303 34036707000404 51055060500606 102110121001212