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101122210221220 = 22534764732251031
BaseRepresentation
bin10110111111100001011001…
…011010110100110010100100
3111021001012002200211102210101
4112333201121122310302210
5101223241241304034340
6555022522502233444
730204560431503316
oct2677413132646244
9437035080742711
10101122210221220
112a2477634680a1
12b4121b3725884
134456a25498946
141ad84abd3d7b6
15ba564a076c9a
hex5bf8596b4ca4

101122210221220 has 48 divisors (see below), whose sum is σ = 213001615951488. Its totient is φ = 40326067930880.

The previous prime is 101122210221211. The next prime is 101122210221223. The reversal of 101122210221220 is 22122012221101.

It is a super-2 number, since 2×1011222102212202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101122210221223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43797105 + ... + 46048135.

It is an arithmetic number, because the mean of its divisors is an integer number (4437533665656).

Almost surely, 2101122210221220 is an apocalyptic number.

101122210221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122210221220 is an abundant number, since it is smaller than the sum of its proper divisors (111879405730268).

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

101122210221220 is a wasteful number, since it uses less digits than its factorization.

101122210221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257860 (or 2257858 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101122210221220 its reverse (22122012221101), we get a palindrome (123244222442321).

The spelling of 101122210221220 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 347 694 1388 1735 3470 6473 6940 12946 25892 32365 64730 129460 2246131 2251031 4492262 4502062 8984524 9004124 11230655 11255155 22461310 22510310 44922620 45020620 781107757 1562215514 3124431028 3905538785 7811077570 14570923663 15622155140 29141847326 58283694652 72854618315 145709236630 291418473260 5056110511061 10112221022122 20224442044244 25280552555305 50561105110610 101122210221220