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10202121101121 = 329377343415683
BaseRepresentation
bin1001010001110101110111…
…0011011101111101000001
31100010022110100202001001120
42110131131303131331001
52314122421000213441
633410442325422453
72102036033351505
oct224353563357501
940108410661046
1010202121101121
113283771435954
1211892a586aa29
13590095a42c01
14273adcbd0305
1512a5a96eb966
hex9475dcddf41

10202121101121 has 32 divisors (see below), whose sum is σ = 14650188408960. Its totient is φ = 6301873073664.

The previous prime is 10202121101089. The next prime is 10202121101143. The reversal of 10202121101121 is 12110112120201.

It is a happy number.

It is not a de Polignac number, because 10202121101121 - 25 = 10202121101089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10202121101121.

It is not an unprimeable number, because it can be changed into a prime (10202121101171) 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, 21472855 + ... + 21942828.

It is an arithmetic number, because the mean of its divisors is an integer number (457818387780).

Almost surely, 210202121101121 is an apocalyptic number.

It is an amenable number.

10202121101121 is a deficient number, since it is larger than the sum of its proper divisors (4448067307839).

10202121101121 is a wasteful number, since it uses less digits than its factorization.

10202121101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43415825.

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

Adding to 10202121101121 its reverse (12110112120201), we get a palindrome (22312233221322).

The spelling of 10202121101121 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 29 37 73 87 111 219 1073 2117 2701 3219 6351 8103 78329 234987 43415683 130247049 1259054807 1606380271 3169344859 3777164421 4819140813 9508034577 46585027859 91911000911 117265759783 139755083577 275733002733 351797279349 3400707033707 10202121101121