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212101101001202 = 274310119974323593
BaseRepresentation
bin110000001110011110100010…
…110010000001100111110010
31000210222200000102002011022212
4300032132202302001213302
5210300031023324014302
62031033522312532122
762450541002551550
oct6016364262014762
91023880012064285
10212101101001202
11616446320617a6
121b9567456b1042
1391470815cc7aa
143a53a68982bd0
15197c382bcc052
hexc0e7a2c819f2

212101101001202 has 128 divisors (see below), whose sum is σ = 378153910886400. Its totient is φ = 87344265254400.

The previous prime is 212101101001201. The next prime is 212101101001217. The reversal of 212101101001202 is 202100101101212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (212101101001201) 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, 8989989518 + ... + 8990013110.

It is an arithmetic number, because the mean of its divisors is an integer number (2954327428800).

Almost surely, 2212101101001202 is an apocalyptic number.

212101101001202 is a deficient number, since it is larger than the sum of its proper divisors (166052809885198).

212101101001202 is a wasteful number, since it uses less digits than its factorization.

212101101001202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24688.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212101101001202 its reverse (202100101101212), we get a palindrome (414201202102414).

The spelling of 212101101001202 in words is "two hundred twelve trillion, one hundred one billion, one hundred one million, one thousand, two hundred two".

Divisors: 1 2 7 14 43 86 101 199 202 301 398 602 707 743 1393 1414 1486 2786 4343 5201 8557 8686 10402 17114 20099 23593 30401 31949 40198 47186 59899 60802 63898 75043 119798 140693 147857 150086 165151 223643 281386 295714 330302 447286 525301 864257 1014499 1034999 1050602 1728514 2028998 2069998 2382893 3226849 4695007 4765786 6049799 6357851 6453698 7101493 9390014 12099598 12715702 14202986 14933557 16680251 17529599 22587943 29867114 32865049 33360502 35059198 44504957 45175886 65730098 89009914 102464399 104534899 122707193 201885301 204928798 209069798 245414386 403770602 474195707 642142951 717250793 753772757 948391414 1284285902 1413197107 1434501586 1507545514 1770489499 2826394214 3319369949 3488390201 3540978998 4495000657 5276409299 6638739898 6976780402 8990001314 10552818598 12393426493 20390415401 24418731407 24786852986 40780830802 48837462814 76131048457 142732907807 150000778643 152262096914 285465815614 300001557286 352327410301 532917339199 704654820602 1050005450501 1065834678398 2100010901002 2466291872107 4932583744214 15150078642943 30300157285886 106050550500601 212101101001202