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101120222022102 = 2356726017119363
BaseRepresentation
bin10110111111011111100010…
…111010011100100111010110
3111021000222222010200110100000
4112333133202322130213112
5101223223203314201402
6555021553320232130
730204460240211403
oct2677374272344726
9437028863613300
10101120222022102
112a246933150728
12b41193990b646
1344567995c3a6a
141ad835dc772aa
15ba5580745c1c
hex5bf7e2e9c9d6

101120222022102 has 96 divisors (see below), whose sum is σ = 230610365661312. Its totient is φ = 33202100600064.

The previous prime is 101120222022059. The next prime is 101120222022107. The reversal of 101120222022102 is 201220222021101.

It is a happy number.

101120222022102 is a `hidden beast` number, since 10 + 11 + 202 + 220 + 221 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120222022107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 847105873 + ... + 847225235.

It is an arithmetic number, because the mean of its divisors is an integer number (2402191308972).

Almost surely, 2101120222022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120222022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115305182830656).

101120222022102 is an abundant number, since it is smaller than the sum of its proper divisors (129490143639210).

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

101120222022102 is a wasteful number, since it uses less digits than its factorization.

101120222022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145464 (or 145452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101120222022102 its reverse (201220222021101), we get a palindrome (302340444043203).

The spelling of 101120222022102 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-two million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 243 402 486 603 1206 1809 3618 5427 10854 16281 26017 32562 52034 78051 119363 156102 234153 238726 358089 468306 702459 716178 1074267 1404918 1743139 2107377 2148534 3222801 3486278 4214754 5229417 6322131 6445602 7997321 9668403 10458834 12644262 15688251 15994642 19336806 23991963 29005209 31376502 47064753 47983926 58010418 71975889 94129506 141194259 143951778 215927667 282388518 423582777 431855334 647783001 847165554 1295566002 1943349003 3105467171 3886698006 6210934342 9316401513 18632803026 27949204539 55898409078 83847613617 167695227234 208066300457 251542840851 416132600914 503085681702 624198901371 754628522553 1248397802742 1509257045106 1872596704113 3745193408226 5617790112339 11235580224678 16853370337017 33706740674034 50560111011051 101120222022102