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101112010102220 = 2251312717317700257
BaseRepresentation
bin10110111111010111111001…
…011100011101010111001100
3111021000012202211111201000012
4112333113321130131113030
5101223104344041232340
6555014114410252352
730204046604100125
oct2677277134352714
9437005684451005
10101112010102220
112a2433a9799787
12b4102277270b8
134455a8b1b1c80
141ad7bc13a704c
15ba524e839565
hex5bf5f971d5cc

101112010102220 has 96 divisors (see below), whose sum is σ = 231801445951488. Its totient is φ = 36825595011072.

The previous prime is 101112010102177. The next prime is 101112010102273. The reversal of 101112010102220 is 22201010211101.

It is a super-2 number, since 2×1011120101022202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112010102195 and 101112010102204.

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, 3137669 + ... + 14562588.

It is an arithmetic number, because the mean of its divisors is an integer number (2414598395328).

Almost surely, 2101112010102220 is an apocalyptic number.

101112010102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112010102220 is an abundant number, since it is smaller than the sum of its proper divisors (130689435849268).

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

101112010102220 is a wasteful number, since it uses less digits than its factorization.

101112010102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17700579 (or 17700577 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112010102220 its reverse (22201010211101), we get a palindrome (123313020313321).

The spelling of 101112010102220 in words is "one hundred one trillion, one hundred twelve billion, ten million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 173 254 260 346 508 635 692 865 1270 1651 1730 2249 2540 3302 3460 4498 6604 8255 8996 11245 16510 21971 22490 33020 43942 44980 87884 109855 219710 285623 439420 571246 1142492 1428115 2856230 5712460 17700257 35400514 70801028 88501285 177002570 230103341 354005140 460206682 920413364 1150516705 2247932639 2301033410 3062144461 4495865278 4602066820 6124288922 8991730556 11239663195 12248577844 15310722305 22479326390 29223124307 30621444610 39807877993 44958652780 58446248614 61242889220 79615755986 116892497228 146115621535 159231511972 199039389965 292231243070 388892346547 398078779930 584462486140 777784693094 796157559860 1555569386188 1944461732735 3888923465470 5055600505111 7777846930940 10111201010222 20222402020444 25278002525555 50556005051110 101112010102220