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10102121202220 = 225171181130719249
BaseRepresentation
bin1001001100000001010101…
…0110001000001000101100
31022202202100012021211111021
42103000111112020020230
52311003121011432340
633252503404503524
72061565660263655
oct223002526101054
938682305254437
1010102121202220
113245316069803
121171a37b4aba4
1358381a26a4b8
1426cd33b9852c
15127ba54d1e4a
hex9301558822c

10102121202220 has 96 divisors (see below), whose sum is σ = 22499752968000. Its totient is φ = 3796826603520.

The previous prime is 10102121202143. The next prime is 10102121202301. The reversal of 10102121202220 is 2220212120101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10102121202194 and 10102121202203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524803156 + ... + 524822404.

It is an arithmetic number, because the mean of its divisors is an integer number (234372426750).

Almost surely, 210102121202220 is an apocalyptic number.

10102121202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102121202220 is an abundant number, since it is smaller than the sum of its proper divisors (12397631765780).

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

10102121202220 is a wasteful number, since it uses less digits than its factorization.

10102121202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21763 (or 21761 counting only the distinct ones).

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

Adding to 10102121202220 its reverse (2220212120101), we get a palindrome (12322333322321).

The spelling of 10102121202220 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1181 1307 2362 2614 4724 5228 5905 6535 11810 13070 19249 20077 22219 23620 26140 38498 40154 44438 76996 80308 88876 96245 100385 111095 192490 200770 222190 327233 384980 401540 444380 654466 1308932 1543567 1636165 3087134 3272330 6174268 6544660 7717835 15435670 22733069 25158443 26240639 30871340 45466138 50316886 52481278 90932276 100633772 104962556 113665345 125792215 131203195 227330690 251584430 262406390 386462173 427693531 454661380 503168860 524812780 772924346 855387062 1545848692 1710774124 1932310865 2138467655 3864621730 4276935310 7729243460 8553870620 29712121183 59424242366 118848484732 148560605915 297121211830 505106060111 594242423660 1010212120222 2020424240444 2525530300555 5051060601110 10102121202220