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221002101101201 = 7227184116591489
BaseRepresentation
bin110010010000000000001111…
…101110110001001010010001
31001222111121001102002222201012
4302100000033232301022101
5212431344300340214301
62102010544052020305
764356606042220100
oct6220001756611221
91058447042088635
10221002101101201
1164466512616752
1220953830601695
139641540c235a4
143c807b7380037
151a83b89d6eebb
hexc9000fbb1291

221002101101201 has 12 divisors (see below), whose sum is σ = 257085038001060. Its totient is φ = 189429664112640.

The previous prime is 221002101101189. The next prime is 221002101101237. The reversal of 221002101101201 is 102101101200122.

It can be written as a sum of positive squares in 2 ways, for example, as 155086797958225 + 65915303142976 = 12453385^2 + 8118824^2 .

It is not a de Polignac number, because 221002101101201 - 210 = 221002101100177 is a prime.

It is a super-2 number, since 2×2210021011012012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221002101101291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5024465 + ... + 21615953.

It is an arithmetic number, because the mean of its divisors is an integer number (21423753166755).

Almost surely, 2221002101101201 is an apocalyptic number.

It is an amenable number.

221002101101201 is a deficient number, since it is larger than the sum of its proper divisors (36082936899859).

221002101101201 is a wasteful number, since it uses less digits than its factorization.

221002101101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16863344 (or 16863337 counting only the distinct ones).

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

Adding to 221002101101201 its reverse (102101101200122), we get a palindrome (323103202301323).

The spelling of 221002101101201 in words is "two hundred twenty-one trillion, two billion, one hundred one million, one hundred one thousand, two hundred one".

Divisors: 1 7 49 271841 1902887 13320209 16591489 116140423 812982961 4510246961249 31571728728743 221002101101201