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10021122121212 = 2236171979102149
BaseRepresentation
bin1001000111010011100101…
…1011001001110111111100
31022111000021020020012000000
42101310321123021313330
52303141224230334322
633151350121234300
72053000514406516
oct221647133116774
938430236205000
1010021122121212
113213a30207344
12115a1b1632990
13578cac15a8b7
1426904c470bb6
15125a144643ac
hex91d396c9dfc

10021122121212 has 168 divisors, whose sum is σ = 27854429526000. Its totient is φ = 3142262066688.

The previous prime is 10021122121187. The next prime is 10021122121249. The reversal of 10021122121212 is 21212122112001.

10021122121212 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 221 + 21 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 98051914 + ... + 98154062.

It is an arithmetic number, because the mean of its divisors is an integer number (165800175750).

Almost surely, 210021122121212 is an apocalyptic number.

10021122121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021122121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927214763000).

10021122121212 is an abundant number, since it is smaller than the sum of its proper divisors (17833307404788).

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

10021122121212 is a wasteful number, since it uses less digits than its factorization.

10021122121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104167 (or 104150 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10021122121212 its reverse (21212122112001), we get a palindrome (31233244233213).

The spelling of 10021122121212 in words is "ten trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twelve".