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10010012101221 = 31110312723188877
BaseRepresentation
bin1001000110101010001100…
…1101110010101001100101
31022102221120221202200201010
42101222203031302221211
52303001001044214341
633142311443052433
72052125300656626
oct221524315625145
938387527680633
1010010012101221
11320a249963940
121158010971119
13577c2b4c1a82
142686b6b21a4d
151255b3de1716
hex91aa3372a65

10010012101221 has 32 divisors (see below), whose sum is σ = 14817136508928. Its totient is φ = 5960468687040.

The previous prime is 10010012101213. The next prime is 10010012101259. The reversal of 10010012101221 is 12210121001001.

It is not a de Polignac number, because 10010012101221 - 23 = 10010012101213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010012101197 and 10010012101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010012101721) 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, 11162766 + ... + 12026111.

It is an arithmetic number, because the mean of its divisors is an integer number (463035515904).

Almost surely, 210010012101221 is an apocalyptic number.

10010012101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010012101221 is a deficient number, since it is larger than the sum of its proper divisors (4807124407707).

10010012101221 is a wasteful number, since it uses less digits than its factorization.

10010012101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23189121.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10010012101221 its reverse (12210121001001), we get a palindrome (22220133102222).

The spelling of 10010012101221 in words is "ten trillion, ten billion, twelve million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 103 127 309 381 1133 1397 3399 4191 13081 39243 143891 431673 23188877 69566631 255077647 765232941 2388454331 2944987379 7165362993 8834962137 26272997641 32394861169 78818992923 97184583507 303333700037 910001100111 3336670700407 10010012101221