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10221201222201 = 32101503160113963
BaseRepresentation
bin1001010010111100111100…
…0100010110101000111001
31100012010201002100121122200
42110233033010112220321
52314431010003102301
633423315514540413
72103312615613614
oct224571704265071
940163632317580
1010221201222201
113290872695262
121190b2b737709
13591b16983b98
142749ccc6317b
1512ad24810c86
hex94bcf116a39

10221201222201 has 48 divisors (see below), whose sum is σ = 14950179683712. Its totient is φ = 6728567040000.

The previous prime is 10221201222187. The next prime is 10221201222247. The reversal of 10221201222201 is 10222210212201.

It is a happy number.

10221201222201 is a `hidden beast` number, since 1 + 0 + 221 + 20 + 1 + 222 + 201 = 666.

10221201222201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221201222201 - 218 = 10221200960057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221201223201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732013446 + ... + 732027408.

It is an arithmetic number, because the mean of its divisors is an integer number (311462076744).

Almost surely, 210221201222201 is an apocalyptic number.

It is an amenable number.

10221201222201 is a deficient number, since it is larger than the sum of its proper divisors (4728978461511).

10221201222201 is a wasteful number, since it uses less digits than its factorization.

10221201222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16174 (or 16171 counting only the distinct ones).

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

Adding to 10221201222201 its reverse (10222210212201), we get a palindrome (20443411434402).

The spelling of 10221201222201 in words is "ten trillion, two hundred twenty-one billion, two hundred one million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 101 303 503 909 1509 1601 4527 4803 13963 14409 41889 50803 125667 152409 161701 457227 485103 805303 1410263 1455309 2415909 4230789 7023389 7247727 12692367 21070167 22354763 63210501 67064289 81335603 201192867 244006809 709362289 732020427 2128086867 2257831063 6384260601 6773493189 11244445789 20320479567 33733337367 101200012101 1135689024689 3407067074067 10221201222201