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10221001222201 = 711223233168917
BaseRepresentation
bin1001010010111100001100…
…1001011010100000111001
31100012010012011000120020021
42110233003021122200321
52314430102303102301
633423244012130441
72103304636626340
oct224570311324071
940163164016207
1010221001222201
11329077a802300
121190a94766a21
13591ab43c98a3
142749b0480b57
1512ad11ea68a1
hex94bc325a839

10221001222201 has 72 divisors (see below), whose sum is σ = 13462865552192. Its totient is φ = 7595011828800.

The previous prime is 10221001222199. The next prime is 10221001222259. The reversal of 10221001222201 is 10222210012201.

It is a happy number.

It is not a de Polignac number, because 10221001222201 - 21 = 10221001222199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221001222291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148274395 + ... + 148343311.

Almost surely, 210221001222201 is an apocalyptic number.

10221001222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221001222201 is a deficient number, since it is larger than the sum of its proper divisors (3241864329991).

10221001222201 is a wasteful number, since it uses less digits than its factorization.

10221001222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69323 (or 69289 counting only the distinct ones).

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

Adding to 10221001222201 its reverse (10222210012201), we get a palindrome (20443211234402).

The spelling of 10221001222201 in words is "ten trillion, two hundred twenty-one billion, one million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 7 11 23 77 121 161 253 331 529 847 1771 2317 2783 3641 3703 5819 7613 19481 25487 40051 40733 53291 64009 68917 83743 175099 280357 448063 482419 586201 758087 921173 1225693 1585091 1926089 5306609 6448211 8338957 11095637 13482623 17436001 21186979 22811527 36457093 58372699 122052007 148308853 159680689 191796011 250926797 255199651 401028023 524665121 1342572077 1756487579 2760194767 2807196161 3672655847 4411308253 5771316331 12067297783 19321363369 30879157771 40399214317 63484479641 84471084481 132740275613 444391357487 929181929291 1460143031743 10221001222201