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102020212221100 = 22521012107934673
BaseRepresentation
bin10111001100100101101110…
…100000100110010010101100
3111101020001000000000121010021
4113030211232200212102230
5101332444343312033400
61000551234413451524
730326500651531525
oct2714455640462254
9441201000017107
10102020212221100
112a563590156918
12b53824a7a0ba4
1344c060702aa54
141b29b39c2b84c
15bbdba6e8871a
hex5cc96e8264ac

102020212221100 has 108 divisors (see below), whose sum is σ = 225687419658792. Its totient is φ = 40026393728000.

The previous prime is 102020212221023. The next prime is 102020212221131. The reversal of 102020212221100 is 1122212020201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108683364 + ... + 109618036.

It is an arithmetic number, because the mean of its divisors is an integer number (2089698330174).

Almost surely, 2102020212221100 is an apocalyptic number.

102020212221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020212221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112843709829396).

102020212221100 is an abundant number, since it is smaller than the sum of its proper divisors (123667207437692).

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

102020212221100 is a wasteful number, since it uses less digits than its factorization.

102020212221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934996 (or 934888 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102020212221100 its reverse (1122212020201), we get a palindrome (103142424241301).

The spelling of 102020212221100 in words is "one hundred two trillion, twenty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 107 202 214 404 428 505 535 1010 1070 2020 2140 2525 2675 5050 5350 10100 10201 10700 10807 20402 21614 40804 43228 51005 54035 102010 108070 204020 216140 255025 270175 510050 540350 934673 1020100 1080700 1091507 1869346 2183014 3738692 4366028 4673365 5457535 9346730 10915070 18693460 21830140 23366825 27287675 46733650 54575350 93467300 94401973 100010011 109150700 188803946 200020022 377607892 400040044 472009865 500050055 944019730 1000100110 1888039460 2000200220 2360049325 2500250275 4720098650 5000500550 9440197300 9534599273 10001001100 10101011111 19069198546 20202022222 38138397092 40404044444 47672996365 50505055555 95345992730 101010111110 190691985460 202020222220 238364981825 252525277775 476729963650 505050555550 953459927300 1010101111100 1020202122211 2040404244422 4080808488844 5101010611055 10202021222110 20404042444220 25505053055275 51010106110550 102020212221100