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200101202100100 = 225273137249223069
BaseRepresentation
bin101101011111110110110001…
…000100011111111110000100
3222020111111011211020102011001
4231133312301010133332010
5202211424230214200400
61545325120113423044
760101556220056160
oct5537666104377604
9866444154212131
10200101202100100
1158838496a5a004
121a538b5386aa84
138786601b49952
14375ad4259dca0
151820158acba6a
hexb5fdb111ff84

200101202100100 has 144 divisors (see below), whose sum is σ = 526103919416320. Its totient is φ = 64598619225600.

The previous prime is 200101202100097. The next prime is 200101202100101. The reversal of 200101202100100 is 1001202101002.

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 (200101202100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123808635 + ... + 125414434.

Almost surely, 2200101202100100 is an apocalyptic number.

200101202100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101202100100 is an abundant number, since it is smaller than the sum of its proper divisors (326002717316220).

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

200101202100100 is a wasteful number, since it uses less digits than its factorization.

200101202100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249223158 (or 249223151 counting only the distinct ones).

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

Adding to 200101202100100 its reverse (1001202101002), we get a palindrome (201102404201102).

The spelling of 200101202100100 in words is "two hundred trillion, one hundred one billion, two hundred two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 37 50 62 70 74 100 124 140 148 155 175 185 217 259 310 350 370 434 518 620 700 740 775 868 925 1036 1085 1147 1295 1550 1850 2170 2294 2590 3100 3700 4340 4588 5180 5425 5735 6475 8029 10850 11470 12950 16058 21700 22940 25900 28675 32116 40145 57350 80290 114700 160580 200725 401450 802900 249223069 498446138 996892276 1246115345 1744561483 2492230690 3489122966 4984461380 6230576725 6978245932 7725915139 8722807415 9221253553 12461153450 15451830278 17445614830 18442507106 24922306900 30903660556 34891229660 36885014212 38629575695 43614037075 46106267765 54081405973 64548774871 77259151390 87228074150 92212535530 108162811946 129097549742 154518302780 174456148300 184425071060 193147878475 216325623892 230531338825 258195099484 270407029865 285858860143 322743874355 386295756950 461062677650 540814059730 571717720286 645487748710 772591513900 922125355300 1081628119460 1143435440572 1290975497420 1352035149325 1429294300715 1613719371775 2001012021001 2704070298650 2858588601430 3227438743550 4002024042002 5408140597300 5717177202860 6454877487100 7146471503575 8004048084004 10005060105005 14292943007150 20010120210010 28585886014300 40020240420020 50025300525025 100050601050050 200101202100100