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100222212101020 = 2251071491572002001
BaseRepresentation
bin10110110010011011001101…
…010110011101001110011100
3111010212011001021120212011021
4112302123031112131032130
5101114020042244213040
6553053240523133524
730052546562632252
oct2662331526351634
9433764037525137
10100222212101020
1129a30001a41659
12b2a78a00742a4
1343bcbb621a359
141aa6ad0cc65d2
15b8c022cbc24a
hex5b26cd59d39c

100222212101020 has 96 divisors (see below), whose sum is σ = 215221621406400. Its totient is φ = 39196405248000.

The previous prime is 100222212100999. The next prime is 100222212101027. The reversal of 100222212101020 is 20101212222001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100222212100985 and 100222212101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222212101027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49060020 + ... + 51062020.

It is an arithmetic number, because the mean of its divisors is an integer number (2241891889650).

Almost surely, 2100222212101020 is an apocalyptic number.

100222212101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222212101020 is an abundant number, since it is smaller than the sum of its proper divisors (114999409305380).

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

100222212101020 is a wasteful number, since it uses less digits than its factorization.

100222212101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002423 (or 2002421 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222212101020 its reverse (20101212222001), we get a palindrome (120323424323021).

The spelling of 100222212101020 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twelve million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 107 149 157 214 298 314 428 535 596 628 745 785 1070 1490 1570 2140 2980 3140 15943 16799 23393 31886 33598 46786 63772 67196 79715 83995 93572 116965 159430 167990 233930 318860 335980 467860 2002001 2503051 4004002 5006102 8008004 10010005 10012204 12515255 20020010 25030510 40040020 50061020 214214107 298298149 314314157 428428214 596596298 628628314 856856428 1071070535 1193192596 1257256628 1491490745 1571570785 2142141070 2982981490 3143141570 4284282140 5965962980 6286283140 31917901943 33631614799 46832809393 63835803886 67263229598 93665618786 127671607772 134526459196 159589509715 168158073995 187331237572 234164046965 319179019430 336316147990 468328093930 638358038860 672632295980 936656187860 5011110605051 10022221210102 20044442420204 25055553025255 50111106050510 100222212101020