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100221021111102 = 231737130321619431
BaseRepresentation
bin10110110010011010000110…
…010111001100001100111110
3111010212000222021112022010120
4112302122012113030030332
5101114010122401023402
6553052522420115410
730052505221451403
oct2662320627141476
9433760867468116
10100221021111102
1129a2a55072a271
12b2a7609235b66
1343bca5655bca8
141aa6a1aa602aa
15b8bea34613bc
hex5b26865cc33e

100221021111102 has 128 divisors (see below), whose sum is σ = 218260135692288. Its totient is φ = 30551244595200.

The previous prime is 100221021111089. The next prime is 100221021111103. The reversal of 100221021111102 is 201111120122001.

It is a happy number.

100221021111102 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221021111103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10626760327 + ... + 10626769757.

It is an arithmetic number, because the mean of its divisors is an integer number (1705157310096).

Almost surely, 2100221021111102 is an apocalyptic number.

100221021111102 is an abundant number, since it is smaller than the sum of its proper divisors (118039114581186).

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

100221021111102 is a wasteful number, since it uses less digits than its factorization.

100221021111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12954.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100221021111102 its reverse (201111120122001), we get a palindrome (301332141233103).

The spelling of 100221021111102 in words is "one hundred trillion, two hundred twenty-one billion, twenty-one million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 17 34 37 51 74 102 111 222 629 1258 1303 1887 2161 2606 3774 3909 4322 6483 7818 9431 12966 18862 22151 28293 36737 44302 48211 56586 66453 73474 79957 96422 110211 132906 144633 159914 160327 220422 239871 289266 320654 348947 479742 480981 697894 819587 961962 1046841 1359269 1639174 2093682 2458761 2718538 2815783 4077807 4917522 5631566 5932099 8155614 8447349 11864198 12288593 16894698 17796297 20380391 24577186 35592594 36865779 40760782 47868311 61141173 73731558 95736622 104183971 122282346 143604933 208367942 208906081 287209866 312551913 346466647 417812162 454677941 625103826 626718243 692933294 754074467 909355882 1039399941 1253436486 1364033823 1508148934 1771127507 2078799882 2262223401 2728067646 3542255014 4524446802 5313382521 7729524997 10626765042 12819265939 15459049994 23188574991 25638531878 26555649473 38457797817 46377149982 53111298946 76915595634 79666948419 159333896838 451446041041 902892082082 982559030501 1354338123123 1965118061002 2708676246246 2947677091503 5895354183006 16703503518517 33407007037034 50110510555551 100221021111102