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1010000212221 = 3721113371298573
BaseRepresentation
bin11101011001010001011…
…01000011000011111101
310120112222122120211201110
432230220231003003331
5113021440023242341
62051553201432233
7132653514103500
oct16545055030375
93515878524643
101010000212221
1135a37a8753a0
121438b303b679
137432002b790
1436c54623137
151b414667216
hexeb28b430fd

1010000212221 has 96 divisors (see below), whose sum is σ = 1890141982848. Its totient is φ = 471225807360.

The previous prime is 1010000212219. The next prime is 1010000212301. The reversal of 1010000212221 is 1222120000101.

It is not a de Polignac number, because 1010000212221 - 21 = 1010000212219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010000212197 and 1010000212206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000210221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128491 + ... + 1427063.

It is an arithmetic number, because the mean of its divisors is an integer number (19688978988).

Almost surely, 21010000212221 is an apocalyptic number.

1010000212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010000212221 is a deficient number, since it is larger than the sum of its proper divisors (880141770627).

1010000212221 is a wasteful number, since it uses less digits than its factorization.

1010000212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298651 (or 1298644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1010000212221 its reverse (1222120000101), we get a palindrome (2232120212322).

It can be divided in two parts, 1010000 and 212221, that added together give a palindrome (1222221).

The spelling of 1010000212221 in words is "one trillion, ten billion, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 231 259 273 407 429 481 539 637 777 1001 1221 1443 1617 1813 1911 2849 3003 3367 5291 5439 7007 8547 10101 15873 19943 21021 23569 37037 59829 70707 111111 259259 777777 1298573 3895719 9090011 14284303 16881449 27270033 42852909 48047201 50644347 63630077 99990121 118170143 144141603 185695939 190890231 299970363 336330407 354510429 528519211 557087817 624613613 699930847 827191001 1008991221 1299871573 1585557633 1873840839 2099792541 2354312849 2481573003 3699634477 3899614719 4372295291 6870749743 7062938547 9099101011 11098903431 13116885873 20612249229 25897441339 27297303033 30606067037 48095248201 77692324017 91818201111 144285744603 336666737407 1010000212221