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102221201202201 = 3257757319664893
BaseRepresentation
bin10111001111100000111010…
…011000101101110000011001
3111101221020210021020201122100
4113033200322120231300121
5101344243010001432301
61001223434353114013
730350144441634414
oct2717407230556031
9441836707221570
10102221201202201
112a63084a1a5174
12b56b1a1558909
1345065581c9833
141b357653ccb7b
15bc401c164286
hex5cf83a62dc19

102221201202201 has 12 divisors (see below), whose sum is σ = 147653109333028. Its totient is φ = 68147346013344.

The previous prime is 102221201202119. The next prime is 102221201202229. The reversal of 102221201202201 is 102202102122201.

It is a happy number.

102221201202201 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 201 + 20 + 220 + 1 = 666.

102221201202201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 71064040142601 + 31157161059600 = 8429949^2 + 5581860^2 .

It is not a de Polignac number, because 102221201202201 - 215 = 102221201169433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221201202301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4634290 + ... + 15030603.

Almost surely, 2102221201202201 is an apocalyptic number.

It is an amenable number.

102221201202201 is a deficient number, since it is larger than the sum of its proper divisors (45431908130827).

102221201202201 is a wasteful number, since it uses less digits than its factorization.

102221201202201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20242472 (or 20242469 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221201202201 its reverse (102202102122201), we get a palindrome (204423303324402).

The spelling of 102221201202201 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred one million, two hundred two thousand, two hundred one".

Divisors: 1 3 9 577573 1732719 5198157 19664893 58994679 176984037 11357911244689 34073733734067 102221201202201