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102111120021012 = 223312292383503003
BaseRepresentation
bin10111001101111010011001…
…000010010101011000010100
3111101112201122112002022121120
4113031322121002111120110
5101340442033211133022
61001101111223243540
730336166513221204
oct2715723102253024
9441481575068546
10102111120021012
112a5990a0247473
12b55199b5a95b0
1344c9063c47a2b
141b302c1516404
15bc1227d82d5c
hex5cde99095614

102111120021012 has 96 divisors (see below), whose sum is σ = 247123209338880. Its totient is φ = 32781404903040.

The previous prime is 102111120020977. The next prime is 102111120021037. The reversal of 102111120021012 is 210120021111201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102111120020982 and 102111120021000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202751503 + ... + 203254505.

It is an arithmetic number, because the mean of its divisors is an integer number (2574200097280).

Almost surely, 2102111120021012 is an apocalyptic number.

102111120021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102111120021012 is an abundant number, since it is smaller than the sum of its proper divisors (145012089317868).

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

102111120021012 is a wasteful number, since it uses less digits than its factorization.

102111120021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505653 (or 505651 counting only the distinct ones).

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

Adding to 102111120021012 its reverse (210120021111201), we get a palindrome (312231141132213).

The spelling of 102111120021012 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 229 372 458 687 916 1374 2383 2748 4766 7099 7149 9532 14198 14298 21297 28396 28596 42594 73873 85188 147746 221619 295492 443238 503003 545707 886476 1006006 1091414 1509009 1637121 2012012 2182828 3018018 3274242 6036036 6548484 15593093 16916917 31186186 33833834 46779279 50750751 62372372 67667668 93558558 101501502 115187687 187117116 203003004 230375374 345563061 460750748 691126122 1198656149 1382252244 2397312298 3570818297 3595968447 4794624596 7141636594 7191936894 10712454891 14283273188 14383873788 21424909782 37158340619 42849819564 74316681238 111475021857 148633362476 222950043714 274492258121 445900087428 548984516242 823476774363 1097969032484 1646953548726 3293907097452 8509260001751 17018520003502 25527780005253 34037040007004 51055560010506 102111120021012