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100102110101210 = 257191491381365773
BaseRepresentation
bin10110110000101011010110…
…101101101011111011011010
3111010102200001011111010020002
4112300223112231223323122
5101110033110141214320
6552522135144333002
730041065414525310
oct2660532655537332
9433380034433202
10100102110101210
112999408054a578
12b288562174162
1343b1785b6c189
141aa0d7a1cc0b0
15b88d43db9675
hex5b0ad6b6beda

100102110101210 has 128 divisors (see below), whose sum is σ = 218375856576000. Its totient is φ = 32272678056960.

The previous prime is 100102110101209. The next prime is 100102110101237. The reversal of 100102110101210 is 12101011201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102110101191 and 100102110101200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273489884 + ... + 273855656.

It is an arithmetic number, because the mean of its divisors is an integer number (1706061379500).

Almost surely, 2100102110101210 is an apocalyptic number.

100102110101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102110101210 is an abundant number, since it is smaller than the sum of its proper divisors (118273746474790).

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

100102110101210 is a wasteful number, since it uses less digits than its factorization.

100102110101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367336.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100102110101210 its reverse (12101011201001), we get a palindrome (112203121302211).

The spelling of 100102110101210 in words is "one hundred trillion, one hundred two billion, one hundred ten million, one hundred one thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 149 190 266 298 665 745 1043 1330 1381 1490 2086 2762 2831 5215 5662 6905 9667 10430 13810 14155 19334 19817 26239 28310 39634 48335 52478 96670 99085 131195 183673 198170 205769 262390 365773 367346 411538 731546 918365 1028845 1440383 1828865 1836730 2057690 2560411 2880766 3657730 3909611 5120822 6949687 7201915 7819222 12802055 13899374 14403830 19548055 25604110 27367277 34748435 39096110 48647809 54500177 54734554 69496870 97295618 109000354 136836385 243239045 272500885 273672770 381501239 486478090 505132513 545001770 763002478 1010265026 1035503363 1907506195 2071006726 2525662565 3535927591 3815012390 5051325130 5177516815 7071855182 7248523541 9597517747 10355033630 14497047082 17679637955 19195035494 35359275910 36242617705 47987588735 67182624229 72485235410 75264744437 95975177470 134365248458 150529488874 335913121145 376323722185 526853211059 671826242290 752647444370 1053706422118 1430030144303 2634266055295 2860060288606 5268532110590 7150150721515 10010211010121 14300301443030 20020422020242 50051055050605 100102110101210