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102132221002212 = 223194315316804313
BaseRepresentation
bin10111001110001110000010…
…110000001100000111100100
3111101121202010002022020010210
4113032032002300030013210
5101341313242034032322
61001114521122415420
730340544434465632
oct2716160260140744
9441552102266123
10102132221002212
112a5a70391a0a05
12b555aaa201570
1344cb047757b1b
141b31323b14352
15bc1a605ca70c
hex5ce382c0c1e4

102132221002212 has 96 divisors (see below), whose sum is σ = 256852510942720. Its totient is φ = 31481646416640.

The previous prime is 102132221002211. The next prime is 102132221002213. The reversal of 102132221002212 is 212200122231201.

It is an interprime number because it is at equal distance from previous prime (102132221002211) and next prime (102132221002213).

It is not an unprimeable number, because it can be changed into a prime (102132221002211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11607768 + ... + 18412080.

Almost surely, 2102132221002212 is an apocalyptic number.

102132221002212 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 102132221002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128426255471360).

102132221002212 is an abundant number, since it is smaller than the sum of its proper divisors (154720289940508).

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

102132221002212 is a wasteful number, since it uses less digits than its factorization.

102132221002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805913 (or 6805911 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102132221002212 its reverse (212200122231201), we get a palindrome (314332343233413).

The spelling of 102132221002212 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-one million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1531 1634 2451 3062 3268 4593 4902 6124 9186 9804 18372 29089 58178 65833 87267 116356 131666 174534 197499 263332 349068 394998 789996 1250827 2501654 3752481 5003308 6804313 7504962 13608626 15009924 20412939 27217252 40825878 81651756 129281947 258563894 292585459 387845841 517127788 585170918 775691682 877756377 1170341836 1551383364 1755512754 3511025508 5559123721 10417403203 11118247442 16677371163 20834806406 22236494884 31252209609 33354742326 41669612812 62504419218 66709484652 125008838436 197930660857 395861321714 447948337729 593791982571 791722643428 895896675458 1187583965142 1343845013187 1791793350916 2375167930284 2687690026374 5375380052748 8511018416851 17022036833702 25533055250553 34044073667404 51066110501106 102132221002212