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100201212101210 = 25111725359471183
BaseRepresentation
bin10110110010000111101001…
…101001110100001001011010
3111010210010211202101100001112
4112302013221221310021122
5101113144040244214320
6553035445032220322
730051204305605103
oct2662075151641132
9433703752340045
10100201212101210
1129a22105a99a10
12b2a37bb23a6a2
1343bac1a60566c
141aa5a9bc933aa
15b8b6e436eec5
hex5b21e9a7425a

100201212101210 has 96 divisors (see below), whose sum is σ = 212957270284032. Its totient is φ = 33646415928320.

The previous prime is 100201212101183. The next prime is 100201212101317. The reversal of 100201212101210 is 12101212102001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28050722 + ... + 31420461.

It is an arithmetic number, because the mean of its divisors is an integer number (2218304898792).

Almost surely, 2100201212101210 is an apocalyptic number.

100201212101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201212101210 is an abundant number, since it is smaller than the sum of its proper divisors (112756058182822).

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

100201212101210 is a wasteful number, since it uses less digits than its factorization.

100201212101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59471288 (or 59471271 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100201212101210 its reverse (12101212102001), we get a palindrome (112302424203211).

The spelling of 100201212101210 in words is "one hundred trillion, two hundred one billion, two hundred twelve million, one hundred one thousand, two hundred ten".

Divisors: 1 2 5 10 11 17 22 34 53 55 85 106 110 170 187 265 289 374 530 578 583 901 935 1166 1445 1802 1870 2890 2915 3179 4505 5830 6358 9010 9911 15317 15895 19822 30634 31790 49555 76585 99110 153170 168487 336974 842435 1684870 59471183 118942366 297355915 594711830 654183013 1011010111 1308366026 2022020222 3151972699 3270915065 5055050555 6303945398 6541830130 10110101110 11121111221 15759863495 17187171887 22242222442 31519726990 34374343774 34671699689 53583535883 55605556105 69343399378 85935859435 107167071766 111211112210 171871718870 173358498445 189058890757 267917679415 346716996890 378117781514 535835358830 589418894713 910920110011 945294453785 1178837789426 1821840220022 1890588907570 2947094473565 4554600550055 5894188947130 9109201100110 10020121210121 20040242420242 50100606050605 100201212101210