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1001012222100 = 22352111013003337
BaseRepresentation
bin11101001000100001111…
…10100101100010010100
310112200210021002122011110
432210100332211202110
5112400033112101400
62043505245535020
7132215005332612
oct16442076454224
93480707078143
101001012222100
11356588337390
12142004b74470
1373519bc4b27
1436640a566b2
151b08a55de50
hexe910fa5894

1001012222100 has 144 divisors (see below), whose sum is σ = 3190842398016. Its totient is φ = 240266880000.

The previous prime is 1001012222081. The next prime is 1001012222123. The reversal of 1001012222100 is 12222101001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1168369 + ... + 1834968.

It is an arithmetic number, because the mean of its divisors is an integer number (22158627764).

Almost surely, 21001012222100 is an apocalyptic number.

1001012222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012222100 is an abundant number, since it is smaller than the sum of its proper divisors (2189830175916).

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

1001012222100 is a wasteful number, since it uses less digits than its factorization.

1001012222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003466 (or 3003459 counting only the distinct ones).

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

Adding to 1001012222100 its reverse (12222101001), we get a palindrome (1013234323101).

The spelling of 1001012222100 in words is "one trillion, one billion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 3003337 6006674 9010011 12013348 15016685 18020022 30033370 33036707 36040044 45050055 60066740 66073414 75083425 90100110 99110121 132146828 150166850 165183535 180200220 198220242 225250275 300333700 303337037 330367070 396440484 450500550 495550605 606674074 660734140 825917675 901001100 910011111 991101210 1213348148 1516685185 1651835350 1820022222 1982202420 2477753025 3033370370 3303670700 3336707407 3640044444 4550055555 4955506050 6066740740 6673414814 7583425925 9100111110 9911012100 10010122221 13346829628 15166851850 16683537035 18200222220 20020244442 22750277775 30333703700 33367074070 40040488884 45500555550 50050611105 66734148140 83417685175 91001111100 100101222210 166835370350 200202444420 250253055525 333670740700 500506111050 1001012222100