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20101212121211 = 1329415922041697
BaseRepresentation
bin1001001001000001011011…
…00110111010100001111011
32122011122202000220222121122
410210200231212322201323
510113314240300334321
6110430211441055455
74143156526611314
oct444405546724173
978148660828548
1020101212121211
11644a970228801
1223078bb32758b
13b2a6c7c6cb60
144d6c9228560b
1524cd2a7028ab
hex12482d9ba87b

20101212121211 has 32 divisors (see below), whose sum is σ = 23328933163200. Its totient is φ = 17181942865920.

The previous prime is 20101212121189. The next prime is 20101212121217. The reversal of 20101212121211 is 11212121210102.

It is a de Polignac number, because none of the positive numbers 2k-20101212121211 is a prime.

It is a super-2 number, since 2×201012121212112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20101212121211.

It is not an unprimeable number, because it can be changed into a prime (20101212121217) 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, 10108886 + ... + 11932811.

It is an arithmetic number, because the mean of its divisors is an integer number (729029161350).

Almost surely, 220101212121211 is an apocalyptic number.

20101212121211 is a deficient number, since it is larger than the sum of its proper divisors (3227721041989).

20101212121211 is a wasteful number, since it uses less digits than its factorization.

20101212121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22041839.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 20101212121211 its reverse (11212121210102), we get a palindrome (31313333331313).

The spelling of 20101212121211 in words is "twenty trillion, one hundred one billion, two hundred twelve million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 13 29 41 59 377 533 767 1189 1711 2419 15457 22243 31447 70151 911963 22041697 286542061 639209213 903709577 1300460123 8309719769 11748224501 16905981599 26207577733 37713343567 53318865043 340698510529 490273466371 693145245559 1546247086247 20101212121211