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10012100222201 = 7114713122992221
BaseRepresentation
bin1001000110110001111110…
…1011010101110011111001
31022110010222110221020012012
42101230133223111303321
52303014240124102301
633143254554455305
72052231114500120
oct221543753256371
938403873836165
1010012100222201
113210120619060
1211584b4134535
135781a1cb0a0c
14268834198ab7
151256873adebb
hex91b1fad5cf9

10012100222201 has 64 divisors (see below), whose sum is σ = 12901754511360. Its totient is φ = 7544186208000.

The previous prime is 10012100222191. The next prime is 10012100222207. The reversal of 10012100222201 is 10222200121001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10012100222201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012100222207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108520271 + ... + 108612491.

It is an arithmetic number, because the mean of its divisors is an integer number (201589914240).

Almost surely, 210012100222201 is an apocalyptic number.

10012100222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012100222201 is a deficient number, since it is larger than the sum of its proper divisors (2889654289159).

10012100222201 is a wasteful number, since it uses less digits than its factorization.

10012100222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92646.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10012100222201 its reverse (10222200121001), we get a palindrome (20234300343202).

The spelling of 10012100222201 in words is "ten trillion, twelve billion, one hundred million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 7 11 47 77 131 229 329 517 917 1441 1603 2519 3619 6157 10087 10763 17633 29999 43099 67727 75341 92221 118393 209993 329989 474089 645547 828751 1014431 1409953 2309923 4334387 7101017 9869671 12080951 15509483 21118609 30340709 47678257 84566657 108566381 132890461 147830263 232304699 333747799 567804697 930233227 992574623 1626132893 2766537779 3974632879 6245851667 6948022361 10918320853 19365764453 30431915569 43720961669 76428245971 130027275613 213023408983 910190929291 1430300031743 10012100222201