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100102211221222 = 277311315722924109
BaseRepresentation
bin10110110000101011011100…
…101111011011011011100110
3111010102200022012202112210201
4112300223130233123123212
5101110033312033034342
6552522153155541114
730041101053163660
oct2660533457333346
9433380265675721
10100102211221222
1129994122636531
12b28858bbba79a
1343b17a0ab56c2
141aa0d897d1530
15b88d4cbe0db7
hex5b0adcbdb6e6

100102211221222 has 128 divisors (see below), whose sum is σ = 177390331833600. Its totient is φ = 41487990276096.

The previous prime is 100102211221171. The next prime is 100102211221387. The reversal of 100102211221222 is 222122112201001.

100102211221222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100102211221222.

It is a congruent number.

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, 4152056104 + ... + 4152080212.

It is an arithmetic number, because the mean of its divisors is an integer number (1385861967450).

Almost surely, 2100102211221222 is an apocalyptic number.

100102211221222 is a deficient number, since it is larger than the sum of its proper divisors (77288120612378).

100102211221222 is a wasteful number, since it uses less digits than its factorization.

100102211221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24690.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100102211221222 its reverse (222122112201001), we get a palindrome (322224323422223).

The spelling of 100102211221222 in words is "one hundred trillion, one hundred two billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 7 14 73 113 146 157 226 229 314 458 511 791 1022 1099 1582 1603 2198 3206 8249 11461 16498 16717 17741 22922 24109 25877 33434 35482 35953 48218 51754 57743 71906 80227 115486 117019 124187 160454 168763 181139 234038 248374 251671 337526 362278 503342 1295093 1759957 1889021 2590186 2624569 2724317 3519914 3778042 3785113 4062689 5249138 5448634 5520961 7570226 8125378 9065651 11041922 12319699 13223147 18131302 18371983 19070219 24639398 26446294 26495791 28438823 36743966 38140438 38646727 52991582 56877646 77293454 198875141 276313249 296576297 397750282 403030153 427717769 552626498 593152594 623868593 806060306 855435538 866790877 1247737186 1392125987 1733581754 1934192743 2076034079 2784251974 2821211071 2994024383 3868385486 4152068158 4367080151 5642422142 5988048766 6067536139 8734160302 12135072278 31223397137 45542407289 62446794274 63275734021 91084814578 97947369101 126551468042 195894738202 218563779959 318796851023 437127559918 442930138147 637593702046 685631583707 885860276294 1371263167414 7150157944373 14300315888746 50051105610611 100102211221222