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201221021100 = 2235211292102623
BaseRepresentation
bin1011101101100110110…
…1010001110110101100
3201020101102211222120010
42323121231101312230
511244100040133400
6232234544453220
720352305313201
oct2733155216654
9636342758503
10201221021100
1178379025450
1232bb861a210
1315c8a293778
149a4c323ca8
15537a763450
hex2ed9b51dac

201221021100 has 144 divisors (see below), whose sum is σ = 657027947520. Its totient is φ = 47098732800.

The previous prime is 201221021051. The next prime is 201221021147. The reversal of 201221021100 is 1120122102.

201221021100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 955612 + ... + 1147011.

It is an arithmetic number, because the mean of its divisors is an integer number (4562694080).

Almost surely, 2201221021100 is an apocalyptic number.

201221021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221021100 is an abundant number, since it is smaller than the sum of its proper divisors (455806926420).

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

201221021100 is a wasteful number, since it uses less digits than its factorization.

201221021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102680 (or 2102673 counting only the distinct ones).

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

Adding to 201221021100 its reverse (1120122102), we get a palindrome (202341143202).

The spelling of 201221021100 in words is "two hundred one billion, two hundred twenty-one million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 31900 47850 95700 2102623 4205246 6307869 8410492 10513115 12615738 21026230 23128853 25231476 31539345 42052460 46257706 52565575 60976067 63078690 69386559 92515412 105131150 115644265 121952134 126157380 138773118 157696725 182928201 210262300 231288530 243904268 277546236 304880335 315393450 346932795 365856402 462577060 578221325 609760670 630786900 670736737 693865590 731712804 914641005 1156442650 1219521340 1341473474 1387731180 1524401675 1734663975 1829282010 2012210211 2312885300 2682946948 3048803350 3353683685 3469327950 3658564020 4024420422 4573205025 6097606700 6707367370 6938655900 8048840844 9146410050 10061051055 13414734740 16768418425 18292820100 20122102110 33536836850 40244204220 50305255275 67073673700 100610510550 201221021100