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101001212221002 = 231711319345403639
BaseRepresentation
bin10110111101110000101101…
…011000000101011001001010
3111020121121210010202011100220
4112331300231120011121022
5101214300440312033002
6554451152155210510
730163045123456302
oct2675605530053112
9436547703664326
10101001212221002
112a200412225705
12b3b2865746a36
1344484b15c4702
141ad26b024a602
15ba24176877bc
hex5bdc2d60564a

101001212221002 has 64 divisors (see below), whose sum is σ = 216895730883840. Its totient is φ = 31243514609664.

The previous prime is 101001212220971. The next prime is 101001212221183. The reversal of 101001212221002 is 200122212100101.

It is a super-2 number, since 2×1010012122210022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20477302 + ... + 24926337.

It is an arithmetic number, because the mean of its divisors is an integer number (3388995795060).

Almost surely, 2101001212221002 is an apocalyptic number.

101001212221002 is an abundant number, since it is smaller than the sum of its proper divisors (115894518662838).

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

101001212221002 is a wasteful number, since it uses less digits than its factorization.

101001212221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45403967.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101001212221002 its reverse (200122212100101), we get a palindrome (301123424321103).

The spelling of 101001212221002 in words is "one hundred one trillion, one billion, two hundred twelve million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 17 34 51 102 113 193 226 339 386 579 678 1158 1921 3281 3842 5763 6562 9843 11526 19686 21809 43618 65427 130854 370753 741506 1112259 2224518 45403639 90807278 136210917 272421834 771861863 1543723726 2315585589 4631171178 5130611207 8762902327 10261222414 15391833621 17525804654 26288706981 30783667242 52577413962 87220390519 148969339559 174440781038 261661171557 297938679118 446908018677 523322343114 893816037354 990207962951 1980415925902 2970623888853 5941247777706 16833535370167 33667070740334 50500606110501 101001212221002