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101221100200 = 235211232000417
BaseRepresentation
bin101111001000100111…
…1110110101010101000
3100200021021100122211001
41132101033312222220
53124300100201300
6114300023244344
710212232104253
oct1362117665250
9320237318731
10101221100200
1139a22743820
121774a8a96b4
1397117b103c
144c832c409a
15297654216a
hex17913f6aa8

101221100200 has 96 divisors (see below), whose sum is σ = 267895978560. Its totient is φ = 35207321600.

The previous prime is 101221100191. The next prime is 101221100203. The reversal of 101221100200 is 2001122101.

It is a super-2 number, since 2×1012211002002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101221100203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949609 + ... + 1050808.

It is an arithmetic number, because the mean of its divisors is an integer number (2790583110).

Almost surely, 2101221100200 is an apocalyptic number.

101221100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221100200 is an abundant number, since it is smaller than the sum of its proper divisors (166674878360).

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

101221100200 is a wasteful number, since it uses less digits than its factorization.

101221100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000467 (or 2000458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101221100200 its reverse (2001122101), we get a palindrome (103222222301).

The spelling of 101221100200 in words is "one hundred one billion, two hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 2000417 4000834 8001668 10002085 16003336 20004170 22004587 40008340 44009174 46009591 50010425 80016680 88018348 92019182 100020850 110022935 176036696 184038364 200041700 220045870 230047955 368076728 400083400 440091740 460095910 506105501 550114675 880183480 920191820 1012211002 1100229350 1150239775 1840383640 2024422004 2200458700 2300479550 2530527505 4048844008 4400917400 4600959100 5061055010 9201918200 10122110020 12652637525 20244220040 25305275050 50610550100 101221100200