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10201202202121 = 7192379277152393
BaseRepresentation
bin1001010001110010011100…
…0010001001011000001001
31100010020002022200010121021
42110130213002021120021
52314114030230431441
633410211222312441
72102004205010620
oct224344702113011
940106068603537
1010201202202121
11328333a775497
121189089b88721
1358cc7a5602a8
14273a52b546b7
1512a553bda3d1
hex94727089609

10201202202121 has 64 divisors (see below), whose sum is σ = 13014691430400. Its totient is φ = 7794931262976.

The previous prime is 10201202202119. The next prime is 10201202202127. The reversal of 10201202202121 is 12120220210201.

It is a happy number.

It is not a de Polignac number, because 10201202202121 - 21 = 10201202202119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201202202095 and 10201202202104.

It is not an unprimeable number, because it can be changed into a prime (10201202202127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66863901 + ... + 67016293.

It is an arithmetic number, because the mean of its divisors is an integer number (203354553600).

Almost surely, 210201202202121 is an apocalyptic number.

It is an amenable number.

10201202202121 is a deficient number, since it is larger than the sum of its proper divisors (2813489228279).

10201202202121 is a wasteful number, since it uses less digits than its factorization.

10201202202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152798.

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

Adding to 10201202202121 its reverse (12120220210201), we get a palindrome (22321422412322).

The spelling of 10201202202121 in words is "ten trillion, two hundred one billion, two hundred two million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 7 19 23 79 133 161 277 437 553 1501 1817 1939 3059 5263 6371 10507 12719 21883 34523 36841 44597 121049 152393 153181 241661 415777 503309 847343 1066751 2895467 2910439 3505039 3523163 9562871 12039047 20268269 24535273 42212861 66595741 66940097 84273329 228741893 276898081 295490027 466170187 802044359 970895803 1601193251 1938286567 3334816019 5261063539 5614310513 6796270621 18447020257 23343712133 36827444773 63361504361 76700768437 129129141799 443530530527 536905379059 1457314600303 10201202202121