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121102001021001 = 371113331547222731
BaseRepresentation
bin11011100010010001000001…
…110000001010000001001001
3120212210020102200010012110010
4123202101001300022001021
5111333113344230133001
61105321254035142133
734336221323255160
oct3342210160120111
9525706380105403
10121102001021001
11356500854a9970
12116ba467144949
135275b3c948c30
1421c95221ba3d7
15e0021ab1b8d6
hex6e2441c0a049

121102001021001 has 128 divisors (see below), whose sum is σ = 217851482161152. Its totient is φ = 57789347616000.

The previous prime is 121102001020993. The next prime is 121102001021003. The reversal of 121102001021001 is 100120100201121.

It is not a de Polignac number, because 121102001021001 - 23 = 121102001020993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121102001021003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 543602806 + ... + 543825536.

It is an arithmetic number, because the mean of its divisors is an integer number (1701964704384).

Almost surely, 2121102001021001 is an apocalyptic number.

121102001021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121102001021001 is a deficient number, since it is larger than the sum of its proper divisors (96749481140151).

121102001021001 is a wasteful number, since it uses less digits than its factorization.

121102001021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223643.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121102001021001 its reverse (100120100201121), we get a palindrome (221222101222122).

The spelling of 121102001021001 in words is "one hundred twenty-one trillion, one hundred two billion, one million, twenty-one thousand, one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 331 429 547 993 1001 1641 2317 3003 3641 3829 4303 6017 6951 7111 10923 11487 12909 18051 21333 25487 30121 42119 47333 49777 76461 78221 90363 126357 141999 149331 181057 222731 234663 331331 543171 547547 668193 993993 1267399 1559117 1642641 1991627 2353741 2450041 2895503 3802197 4677351 5974881 7061223 7350123 8686509 13941389 16476187 17150287 20268521 25891151 31850533 41824167 49428561 51450861 60805563 73723961 77673453 95551599 121833857 181238057 221171883 222953731 365501571 516067727 543714171 668861193 810963571 852836999 958411493 1340172427 1548203181 1583840141 2432890713 2558510997 2875234479 4020517281 4751520423 5676744997 6708880451 9381206989 10542526423 11086880987 17030234991 17422241551 20126641353 28143620967 31627579269 33260642961 40327006667 52266724653 73797684961 120981020001 121955690857 221393054883 282289046669 365867072571 443597073337 524251086671 846867140007 1330791220011 1572753260013 3105179513359 3669757606697 5766761953381 9315538540077 11009272820091 17300285860143 40367333673667 121102001021001