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101220101220 = 223571012419901
BaseRepresentation
bin101111001000100110…
…0000010110001100100
3100200021012110220110210
41132101030002301210
53124244321214340
6114255550015420
710212220443630
oct1362114026144
9320235426423
10101220101220
1139a22121217
121774a4a7570
139711521424
144c83103dc0
1529763e6180
hex1791302c64

101220101220 has 192 divisors, whose sum is σ = 328501780992. Its totient is φ = 22809600000.

The previous prime is 101220101201. The next prime is 101220101233. The reversal of 101220101220 is 22101022101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101220101196 and 101220101205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10218270 + ... + 10228170.

It is an arithmetic number, because the mean of its divisors is an integer number (1710946776).

Almost surely, 2101220101220 is an apocalyptic number.

101220101220 is a gapful number since it is divisible by the number (10) 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 101220101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164250890496).

101220101220 is an abundant number, since it is smaller than the sum of its proper divisors (227281679772).

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

101220101220 is a wasteful number, since it uses less digits than its factorization.

101220101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101220101220 its reverse (22101022101), we get a palindrome (123321123321).

The spelling of 101220101220 in words is "one hundred one billion, two hundred twenty million, one hundred one thousand, two hundred twenty".