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101012200121210 = 25722361765316061
BaseRepresentation
bin10110111101111010111100…
…010011100110001101111010
3111020122200010220102022210212
4112331322330103212031322
5101214440441212334320
6554500210352111122
730163614325205630
oct2675727423461572
9436580126368725
10101012200121210
112a205040649774
12b3b4a115354a2
134449542b73801
141ad303368b350
15ba285c1369c5
hex5bdebc4e637a

101012200121210 has 128 divisors (see below), whose sum is σ = 209399844777984. Its totient is φ = 34366718453760.

The previous prime is 101012200121207. The next prime is 101012200121219. The reversal of 101012200121210 is 12121002210101.

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

It is not an unprimeable number, because it can be changed into a prime (101012200121219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289276580 + ... + 6289292640.

It is an arithmetic number, because the mean of its divisors is an integer number (1635936287328).

Almost surely, 2101012200121210 is an apocalyptic number.

101012200121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012200121210 is an abundant number, since it is smaller than the sum of its proper divisors (108387644656774).

101012200121210 is a wasteful number, since it uses less digits than its factorization.

101012200121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17568.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101012200121210 its reverse (12121002210101), we get a palindrome (113133202331311).

The spelling of 101012200121210 in words is "one hundred one trillion, twelve billion, two hundred million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 70 223 446 617 653 1115 1234 1306 1561 2230 3085 3122 3265 4319 4571 6170 6530 7805 8638 9142 15610 16061 21595 22855 32122 43190 45710 80305 112427 137591 145619 160610 224854 275182 291238 402901 562135 687955 728095 805802 963137 1019333 1124270 1375910 1456190 1926274 2014505 2038666 2820307 3581603 4029010 4815685 5096665 5640614 7163206 9631370 9909637 10193330 10487833 14101535 17908015 19819274 20975666 25071221 28203070 35816030 49548185 50142442 52439165 69367459 73414831 89846923 99096370 104878330 125356105 138734918 146829662 179693846 250712210 346837295 367074155 449234615 628928461 693674590 734148310 898469230 1257856922 2209849051 2338786759 3144642305 4419698102 4677573518 6289284610 6470992961 11049245255 11693933795 12941985922 15468943357 16371507313 22098490510 23387867590 30937886714 32354964805 32743014626 45296950727 64709929610 77344716785 81857536565 90593901454 154689433570 163715073130 226484753635 452969507270 1443031430303 2886062860606 7215157151515 10101220012121 14430314303030 20202440024242 50506100060605 101012200121210