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10010221021220 = 22571725310146219
BaseRepresentation
bin1001000110101010111110…
…1010110000100000100100
31022102222010111212221001212
42101222233222300200210
52303001413040134340
633142344305010552
72052133415525060
oct221525752604044
938388114787055
1010010221021220
11320a3468895a2
12115806a923a58
13577c62880184
142686d6786aa0
151255c740da65
hex91aafab0824

10010221021220 has 288 divisors, whose sum is σ = 26260411403520. Its totient is φ = 3137795481600.

The previous prime is 10010221021211. The next prime is 10010221021223. The reversal of 10010221021220 is 2212012201001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10010221021195 and 10010221021204.

It is not an unprimeable number, because it can be changed into a prime (10010221021223) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 216559271 + ... + 216605489.

It is an arithmetic number, because the mean of its divisors is an integer number (91181984040).

Almost surely, 210010221021220 is an apocalyptic number.

10010221021220 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 10010221021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13130205701760).

10010221021220 is an abundant number, since it is smaller than the sum of its proper divisors (16250190382300).

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

10010221021220 is a wasteful number, since it uses less digits than its factorization.

10010221021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46423 (or 46404 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10010221021220 its reverse (2212012201001), we get a palindrome (12222233222221).

The spelling of 10010221021220 in words is "ten trillion, ten billion, two hundred twenty-one million, twenty-one thousand, two hundred twenty".