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101011122220122 = 232232269285137717
BaseRepresentation
bin10110111101111001111100…
…000011101110110001011010
3111020122120100210011021111100
4112331321330003232301122
5101214431234242020442
6554455511405012230
730163545526203102
oct2675717403566132
9436576323137440
10101011122220122
112a204638158724
12b3b4770554076
13444940075c70a
141ad2d70462202
15ba27e76b884c
hex5bde7c0eec5a

101011122220122 has 96 divisors (see below), whose sum is σ = 228559818913920. Its totient is φ = 32180105865600.

The previous prime is 101011122220117. The next prime is 101011122220189. The reversal of 101011122220122 is 221022221110101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101011122220095 and 101011122220104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678113608 + ... + 2678151324.

It is an arithmetic number, because the mean of its divisors is an integer number (2380831447020).

Almost surely, 2101011122220122 is an apocalyptic number.

101011122220122 is an abundant number, since it is smaller than the sum of its proper divisors (127548696693798).

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

101011122220122 is a wasteful number, since it uses less digits than its factorization.

101011122220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42868 (or 42865 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101011122220122 its reverse (221022221110101), we get a palindrome (322033343330223).

The spelling of 101011122220122 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 2269 2851 4538 5702 6807 8553 13614 17106 20421 25659 37717 40842 51318 52187 65573 75434 104374 113151 131146 156561 196719 226302 313122 339453 393438 469683 590157 678906 867491 939366 1180314 1734982 2602473 5204946 6468919 7807419 12937838 15614838 19406757 38813514 58220271 85579873 107531167 116440542 148785137 171159746 215062334 256739619 297570274 322593501 446355411 513479238 645187002 770218857 892710822 967780503 1339066233 1540437714 1935561006 1968337079 2473216841 2678132466 3936674158 4946433682 5905011237 7419650523 11810022474 14839301046 17715033711 22258951569 35430067422 44517903138 243988217923 487976435846 731964653769 1463929307538 2195893961307 4391787922614 5611729012229 11223458024458 16835187036687 33670374073374 50505561110061 101011122220122