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1221010101008 = 242327759919997
BaseRepresentation
bin10001110001001001110…
…111111001001100010000
311022201122021220211022122
4101301021313321030100
5130001112041213013
62332531351553412
7154133524420565
oct21611167711420
94281567824278
101221010101008
11430911408a35
1217878198b868
138b1aa328339
1443150a2a86c
1521b64480a08
hex11c49df9310

1221010101008 has 80 divisors (see below), whose sum is σ = 2481735801600. Its totient is φ = 580852766208.

The previous prime is 1221010100987. The next prime is 1221010101029. The reversal of 1221010101008 is 8001010101221.

It is an interprime number because it is at equal distance from previous prime (1221010100987) and next prime (1221010101029).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61049666 + ... + 61069662.

It is an arithmetic number, because the mean of its divisors is an integer number (31021697520).

Almost surely, 21221010101008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221010101008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240867900800).

1221010101008 is an abundant number, since it is smaller than the sum of its proper divisors (1260725700592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1221010101008 is a wasteful number, since it uses less digits than its factorization.

1221010101008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20904 (or 20898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1221010101008 its reverse (8001010101221), we get a palindrome (9222020202229).

The spelling of 1221010101008 in words is "one trillion, two hundred twenty-one billion, ten million, one hundred one thousand, eight".

Divisors: 1 2 4 8 16 23 46 92 184 277 368 554 599 1108 1198 2216 2396 4432 4792 6371 9584 12742 13777 19997 25484 27554 39994 50968 55108 79988 101936 110216 159976 165923 220432 319952 331846 459931 663692 919862 1327384 1839724 2654768 3679448 3816229 5539169 7358896 7632458 11078338 11978203 15264916 22156676 23956406 30529832 44313352 47912812 61059664 88626704 95825624 127400887 191651248 254801774 275498669 509603548 550997338 1019207096 1101994676 2038414192 2203989352 3317962231 4407978704 6635924462 13271848924 26543697848 53087395696 76313131313 152626262626 305252525252 610505050504 1221010101008