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1210221210100 = 225275974339439
BaseRepresentation
bin10001100111000110110…
…011100010100111110100
311021200210101201101022111
4101213012303202213310
5124312013112210400
62323545024340404
7153302260361260
oct21470663424764
94250711641274
101210221210100
11427285360571
12176670774704
138a17b077616
1442809bd10a0
15217321e23ba
hex119c6ce29f4

1210221210100 has 144 divisors (see below), whose sum is σ = 3056404377600. Its totient is φ = 407340904320.

The previous prime is 1210221210091. The next prime is 1210221210101. The reversal of 1210221210100 is 10121220121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210221210101) 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, 30666181 + ... + 30705619.

It is an arithmetic number, because the mean of its divisors is an integer number (21225030400).

Almost surely, 21210221210100 is an apocalyptic number.

1210221210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210221210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528202188800).

1210221210100 is an abundant number, since it is smaller than the sum of its proper divisors (1846183167500).

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

1210221210100 is a wasteful number, since it uses less digits than its factorization.

1210221210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40262 (or 40255 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1210221210100 its reverse (10121220121), we get a palindrome (1220342430221).

The spelling of 1210221210100 in words is "one trillion, two hundred ten billion, two hundred twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 590 700 743 826 1180 1475 1486 1652 2065 2950 2972 3715 4130 5201 5900 7430 8260 10325 10402 14860 18575 20650 20804 26005 37150 39439 41300 43837 52010 74300 78878 87674 104020 130025 157756 175348 197195 219185 260050 276073 306859 394390 438370 520100 552146 613718 788780 876740 985975 1095925 1104292 1227436 1380365 1534295 1971950 2191850 2326901 2760730 3068590 3943900 4383700 4653802 5521460 6137180 6901825 7671475 9307604 11634505 13803650 15342950 16288307 23269010 27607300 29303177 30685900 32576614 46538020 58172525 58606354 65153228 81441535 116345050 117212708 146515885 162883070 205122239 232690100 293031770 325766140 407207675 410244478 586063540 732579425 814415350 820488956 1025611195 1465158850 1628830700 1728887443 2051222390 2930317700 3457774886 4102444780 5128055975 6915549772 8644437215 10256111950 12102212101 17288874430 20512223900 24204424202 34577748860 43222186075 48408848404 60511060505 86444372150 121022121010 172888744300 242044242020 302555302525 605110605050 1210221210100