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10221110121201 = 373314313411721
BaseRepresentation
bin1001010010111100100110…
…1000110101001011110001
31100012010110201221012120120
42110233021220311023301
52314430313142334301
633423302502200453
72103310431354210
oct224571150651361
940163421835516
1010221110121201
113290826221781
121190b05123129
13591b00b37a75
142749c0b0b077
1512ad1b817e36
hex94bc9a352f1

10221110121201 has 32 divisors (see below), whose sum is σ = 15658330116096. Its totient is φ = 5809476816000.

The previous prime is 10221110121181. The next prime is 10221110121317. The reversal of 10221110121201 is 10212101112201.

It is a happy number.

10221110121201 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 10221110121201 - 26 = 10221110121137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221110121701) 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, 1290021 + ... + 4701741.

It is an arithmetic number, because the mean of its divisors is an integer number (489322816128).

Almost surely, 210221110121201 is an apocalyptic number.

It is an amenable number.

10221110121201 is a deficient number, since it is larger than the sum of its proper divisors (5437219994895).

10221110121201 is a wasteful number, since it uses less digits than its factorization.

10221110121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412493.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10221110121201 its reverse (10212101112201), we get a palindrome (20433211233402).

The spelling of 10221110121201 in words is "ten trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 21 331 431 993 1293 2317 3017 6951 9051 142661 427983 998627 2995881 3411721 10235163 23882047 71646141 1129279651 1470451751 3387838953 4411355253 7904957557 10293162257 23714872671 30879486771 486719529581 1460158588743 3407036707067 10221110121201