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221021100020100 = 22352888538291639
BaseRepresentation
bin110010010000010001111100…
…001001111001000110000100
31001222120102002110221001212010
4302100101330021321012010
5212432202203101120400
62102023405220454220
764361150620321152
oct6220217411710604
91058512073831763
10221021100020100
1164473581a53716
122095745324a370
13964327b0a2c33
143c8169a7163d2
151a843ecc94450
hexc9047c279184

221021100020100 has 72 divisors (see below), whose sum is σ = 639494990326080. Its totient is φ = 58938289566080.

The previous prime is 221021100020087. The next prime is 221021100020143. The reversal of 221021100020100 is 1020001120122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22510081 + ... + 30801719.

It is an arithmetic number, because the mean of its divisors is an integer number (8881874865640).

Almost surely, 2221021100020100 is an apocalyptic number.

221021100020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021100020100 is an abundant number, since it is smaller than the sum of its proper divisors (418473890305980).

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

221021100020100 is a wasteful number, since it uses less digits than its factorization.

221021100020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380509 (or 8380502 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221021100020100 its reverse (1020001120122), we get a palindrome (222041101140222).

The spelling of 221021100020100 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 88853 177706 266559 355412 444265 533118 888530 1066236 1332795 1777060 2221325 2665590 4442650 5331180 6663975 8291639 8885300 13327950 16583278 24874917 26655900 33166556 41458195 49749834 82916390 99499668 124374585 165832780 207290975 248749170 414581950 497498340 621872925 829163900 1243745850 2487491700 736737000067 1473474000134 2210211000201 2946948000268 3683685000335 4420422000402 7367370000670 8840844000804 11051055001005 14734740001340 18418425001675 22102110002010 36836850003350 44204220004020 55255275005025 73673700006700 110510550010050 221021100020100