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121002101002101 = 311163124918010631
BaseRepresentation
bin11011100000110011111111…
…001111110100111101110101
3120212102200120110121102111010
4123200303333033310331311
5111324444300324031401
61105203333043102433
734326053602152564
oct3340637717647565
9525380513542433
10121002101002101
1135611780552080
12116a3026971a19
1352695aba74507
1421c4766543bdb
15dec820580ed6
hex6e0cff3f4f75

121002101002101 has 32 divisors (see below), whose sum is σ = 177224618880000. Its totient is φ = 72826342617600.

The previous prime is 121002101002099. The next prime is 121002101002157. The reversal of 121002101002101 is 101200101200121.

It is not a de Polignac number, because 121002101002101 - 21 = 121002101002099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002101002801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2286945 + ... + 15723686.

It is an arithmetic number, because the mean of its divisors is an integer number (5538269340000).

Almost surely, 2121002101002101 is an apocalyptic number.

121002101002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121002101002101 is a deficient number, since it is larger than the sum of its proper divisors (56222517877899).

121002101002101 is a wasteful number, since it uses less digits than its factorization.

121002101002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18012057.

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

Adding to 121002101002101 its reverse (101200101200121), we get a palindrome (222202202202222).

The spelling of 121002101002101 in words is "one hundred twenty-one trillion, two billion, one hundred one million, two thousand, one hundred one".

Divisors: 1 3 11 33 163 489 1249 1793 3747 5379 13739 41217 203587 610761 2239457 6718371 18010631 54031893 198116941 594350823 2935732853 8807198559 22495278119 32293061383 67485834357 96879184149 247448059309 742344177927 3666730333397 11000191000191 40334033667367 121002101002101