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20100111212101 = 2347149251541919
BaseRepresentation
bin1001001000111111010111…
…11111010001111001000101
32122011112220022101000020011
410210133223333101321011
510113310011432241401
6110425510312510221
74143120331210624
oct444375377217105
978145808330204
1020100111212101
11644a455852468
1223076526ab371
13b2a580b6144b
144d6bc9d8b6bb
1524ccb3c3c451
hex1247ebfd1e45

20100111212101 has 64 divisors (see below), whose sum is σ = 21713577984000. Its totient is φ = 18561739680000.

The previous prime is 20100111212059. The next prime is 20100111212141. The reversal of 20100111212101 is 10121211100102.

It is a happy number.

It is not a de Polignac number, because 20100111212101 - 239 = 19550355398213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100111212141) 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, 21871720120 + ... + 21871721038.

It is an arithmetic number, because the mean of its divisors is an integer number (339274656000).

Almost surely, 220100111212101 is an apocalyptic number.

It is an amenable number.

20100111212101 is a deficient number, since it is larger than the sum of its proper divisors (1613466771899).

20100111212101 is a wasteful number, since it uses less digits than its factorization.

20100111212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 20100111212101 its reverse (10121211100102), we get a palindrome (30221322312203).

The spelling of 20100111212101 in words is "twenty trillion, one hundred billion, one hundred eleven million, two hundred twelve thousand, one hundred one".

Divisors: 1 23 47 149 251 541 919 1081 3427 5773 7003 11797 12443 21137 25427 37399 43193 80609 135791 136931 161069 230669 271331 497179 584821 860177 993439 1757753 1854007 3123193 3149413 3788623 5305387 6382177 6435757 10841443 11435117 20232859 23367413 34369681 40428319 74079671 87138329 124791929 146790071 148022411 249353189 465355757 537450499 790502663 950944373 1615375007 1703832433 2870214367 3481744537 5865220663 18593997421 21871720579 37153625161 80080124351 134900075249 427661940683 873917878787 20100111212101