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101000010202122 = 231982110211105683
BaseRepresentation
bin10110111101101111100101…
…101110101111110000001010
3111020121111200100221021110010
4112331233211232233300022
5101214241010102431442
6554450433015532350
730163003256462133
oct2675574556576012
9436544610837403
10101000010202122
112a1aa955770079
12b3b258b08a0b6
13444834c574335
141ad25d8752c8a
15ba2396d9db9c
hex5bdbe5bafc0a

101000010202122 has 64 divisors (see below), whose sum is σ = 212913455178240. Its totient is φ = 31852470254400.

The previous prime is 101000010202097. The next prime is 101000010202159. The reversal of 101000010202122 is 221202010000101.

It is a junction number, because it is equal to n+sod(n) for n = 101000010202098 and 101000010202107.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 955635493 + ... + 955741175.

It is an arithmetic number, because the mean of its divisors is an integer number (3326772737160).

Almost surely, 2101000010202122 is an apocalyptic number.

101000010202122 is an abundant number, since it is smaller than the sum of its proper divisors (111913444976118).

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

101000010202122 is a wasteful number, since it uses less digits than its factorization.

101000010202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116739.

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

Adding to 101000010202122 its reverse (221202010000101), we get a palindrome (322202020202223).

The spelling of 101000010202122 in words is "one hundred one trillion, ten million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 114 821 1642 2463 4926 10211 15599 20422 30633 31198 46797 61266 93594 105683 194009 211366 317049 388018 582027 634098 1164054 2007977 4015954 6023931 8383231 12047862 16766462 25149693 50299386 86765743 159281389 173531486 260297229 318562778 477844167 520594458 955688334 1079129113 1648549117 2158258226 3237387339 3297098234 4945647351 6474774678 9891294702 20503453147 41006906294 61510359441 123020718882 885965001773 1771930003546 2657895005319 5315790010638 16833335033687 33666670067374 50500005101061 101000010202122