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100221211200012 = 22379071315446149
BaseRepresentation
bin10110110010011010010001…
…101100010100101000001100
3111010212001110112012211002120
4112302122101230110220030
5101114011020031400022
6553052553330252540
730052513020256440
oct2662322154245014
9433761415184076
10100221211200012
1129a2a638a62941
12b2a7660a27150
1343bca86a56036
141aa6a37dc2820
15b8beb4eadd5c
hex5b2691b14a0c

100221211200012 has 48 divisors (see below), whose sum is σ = 267551223340800. Its totient is φ = 28603061042112.

The previous prime is 100221211200001. The next prime is 100221211200013. The reversal of 100221211200012 is 210002112122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221211199964 and 100221211200000.

It is not an unprimeable number, because it can be changed into a prime (100221211200013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657646887 + ... + 657799262.

It is an arithmetic number, because the mean of its divisors is an integer number (5573983819600).

Almost surely, 2100221211200012 is an apocalyptic number.

100221211200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221211200012 is an abundant number, since it is smaller than the sum of its proper divisors (167330012140788).

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

100221211200012 is a wasteful number, since it uses less digits than its factorization.

100221211200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315447070 (or 1315447068 counting only the distinct ones).

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

Adding to 100221211200012 its reverse (210002112122001), we get a palindrome (310223323322013).

The spelling of 100221211200012 in words is "one hundred trillion, two hundred twenty-one billion, two hundred eleven million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 907 1814 2721 3628 5442 6349 10884 12698 19047 25396 38094 76188 1315446149 2630892298 3946338447 5261784596 7892676894 9208123043 15785353788 18416246086 27624369129 36832492172 55248738258 110497476516 1193109657143 2386219314286 3579328971429 4772438628572 7158657942858 8351767600001 14317315885716 16703535200002 25055302800003 33407070400004 50110605600006 100221211200012