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201022101022120 = 2357717936075079
BaseRepresentation
bin101101101101010000011010…
…111011000110010110101000
3222100202112011212000201211021
4231231100122323012112220
5202322021230330201440
61551312140041342224
760225240026542420
oct5555203273062650
9870675155021737
10201022101022120
1159062aa3434284
121a66751aa97974
1388223c22ba4b1
14378d7433c7480
1518390a5c3b84a
hexb6d41aec65a8

201022101022120 has 32 divisors (see below), whose sum is σ = 516913974057600. Its totient is φ = 68921863207488.

The previous prime is 201022101022117. The next prime is 201022101022121. The reversal of 201022101022120 is 21220101220102.

It is a happy number.

201022101022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201022101022094 and 201022101022103.

It is not an unprimeable number, because it can be changed into a prime (201022101022121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358968037260 + ... + 358968037819.

It is an arithmetic number, because the mean of its divisors is an integer number (16153561689300).

Almost surely, 2201022101022120 is an apocalyptic number.

201022101022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022101022120 is an abundant number, since it is smaller than the sum of its proper divisors (315891873035480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201022101022120 is a wasteful number, since it uses less digits than its factorization.

201022101022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717936075097 (or 717936075093 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201022101022120 its reverse (21220101220102), we get a palindrome (222242202242222).

The spelling of 201022101022120 in words is "two hundred one trillion, twenty-two billion, one hundred one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 717936075079 1435872150158 2871744300316 3589680375395 5025552525553 5743488600632 7179360750790 10051105051106 14358721501580 20102210102212 25127762627765 28717443003160 40204420204424 50255525255530 100511050511060 201022101022120