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101010022102220 = 225711205213196283
BaseRepresentation
bin10110111101111000111010…
…011111000111010011001100
3111020122110112010002111102212
4112331320322133013103030
5101214422011124232340
6554455210305405552
730163506340306220
oct2675707237072314
9436573463074385
10101010022102220
112a204123172880
12b3b45040398b8
13444928686a18a
141ad2ca82d2780
15ba2780d0ca65
hex5bde3a7c74cc

101010022102220 has 96 divisors (see below), whose sum is σ = 264475573479936. Its totient is φ = 31482099187200.

The previous prime is 101010022102201. The next prime is 101010022102259. The reversal of 101010022102220 is 22201220010101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101010022102195 and 101010022102204.

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, 30004199 + ... + 33200481.

It is an arithmetic number, because the mean of its divisors is an integer number (2754953890416).

Almost surely, 2101010022102220 is an apocalyptic number.

101010022102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010022102220 is an abundant number, since it is smaller than the sum of its proper divisors (163465551377716).

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

101010022102220 is a wasteful number, since it uses less digits than its factorization.

101010022102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216831 (or 3216829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101010022102220 its reverse (22201220010101), we get a palindrome (123211242112321).

The spelling of 101010022102220 in words is "one hundred one trillion, ten billion, twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 20521 41042 82084 102605 143647 205210 225731 287294 410420 451462 574588 718235 902924 1128655 1436470 1580117 2257310 2872940 3160234 3196283 4514620 6320468 6392566 7900585 12785132 15801170 15981415 22373981 31602340 31962830 35159113 44747962 63925660 70318226 89495924 111869905 140636452 175795565 223739810 246113791 351591130 447479620 492227582 703182260 984455164 1230568955 2461137910 4922275820 65590923443 131181846886 262363693772 327954617215 459136464101 655909234430 721500157873 918272928202 1311818468860 1443000315746 1836545856404 2295682320505 2886000631492 3607500789365 4591364641010 5050501105111 7215001578730 9182729282020 10101002210222 14430003157460 20202004420444 25252505525555 50505011051110 101010022102220