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10221001020010 = 2511267891416587
BaseRepresentation
bin1001010010111100001100…
…1000101001001001101010
31100012010012010122021212201
42110233003020221021222
52314430102230120020
633423244003530414
72103304635125014
oct224570310511152
940163163567781
1010221001020010
11329077a684400
121190a94689a0a
13591ab4358851
142749b042b1b4
1512ad11e66a0a
hex94bc322926a

10221001020010 has 96 divisors (see below), whose sum is σ = 20754827432640. Its totient is φ = 3620113854720.

The previous prime is 10221001019947. The next prime is 10221001020017. The reversal of 10221001020010 is 1002010012201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10221001020017) 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 47 ways as a sum of consecutive naturals, for example, 6506937 + ... + 7923523.

It is an arithmetic number, because the mean of its divisors is an integer number (216196119090).

Almost surely, 210221001020010 is an apocalyptic number.

10221001020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10221001020010 is an abundant number, since it is smaller than the sum of its proper divisors (10533826412630).

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

10221001020010 is a wasteful number, since it uses less digits than its factorization.

10221001020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416772 (or 1416761 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10221001020010 its reverse (1002010012201), we get a palindrome (11223011032211).

The spelling of 10221001020010 in words is "ten trillion, two hundred twenty-one billion, one million, twenty thousand, ten".

Divisors: 1 2 5 10 11 22 55 67 89 110 121 134 178 242 335 445 605 670 737 890 979 1210 1474 1958 3685 4895 5963 7370 8107 9790 10769 11926 16214 21538 29815 40535 53845 59630 65593 81070 107690 131186 327965 655930 721523 1416587 1443046 2833174 3607615 7082935 7215230 14165870 15582457 31164914 77912285 94911329 126076243 155824570 171407027 189822658 252152486 342814054 474556645 630381215 857035135 949113290 1044024619 1260762430 1386838673 1714070270 2088049238 2773677346 5220123095 6934193365 8447108281 10440246190 11484270809 13868386730 15255225403 16894216562 22968541618 30510450806 42235541405 57421354045 76276127015 84471082810 92918191091 114842708090 152552254030 185836382182 464590955455 929181910910 1022100102001 2044200204002 5110500510005 10221001020010