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101200212102220 = 225711191344054573
BaseRepresentation
bin10111000000101010000010…
…101100011000110001001100
3111021022122102210010112210221
4113000222002230120301030
5101231031013244232340
6555122422521241124
730213321411526150
oct2700520254306114
9437278383115727
10101200212102220
112a2778504a1860
12b4253423331a4
1344611a666460a
141adc18b58d060
15ba76b2e0544a
hex5c0a82b18c4c

101200212102220 has 96 divisors (see below), whose sum is σ = 266347784134656. Its totient is φ = 31377776966400.

The previous prime is 101200212102169. The next prime is 101200212102259. The reversal of 101200212102220 is 22201212002101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101200212102194 and 101200212102203.

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, 171733147 + ... + 172321426.

It is an arithmetic number, because the mean of its divisors is an integer number (2774456084736).

Almost surely, 2101200212102220 is an apocalyptic number.

101200212102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200212102220 is an abundant number, since it is smaller than the sum of its proper divisors (165147572032436).

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

101200212102220 is a wasteful number, since it uses less digits than its factorization.

101200212102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344054791 (or 344054789 counting only the distinct ones).

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

Adding to 101200212102220 its reverse (22201212002101), we get a palindrome (123401424104321).

The spelling of 101200212102220 in words is "one hundred one trillion, two hundred billion, two hundred twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 191 220 308 382 385 764 770 955 1337 1540 1910 2101 2674 3820 4202 5348 6685 8404 10505 13370 14707 21010 26740 29414 42020 58828 73535 147070 294140 344054573 688109146 1376218292 1720272865 2408382011 3440545730 3784600303 4816764022 6881091460 7569200606 9633528044 12041910055 15138401212 18923001515 24083820110 26492202121 37846003030 48167640220 52984404242 65714423443 75692006060 105968808484 131428846886 132461010605 262857693772 264922021210 328572117215 460000964101 529844042420 657144234430 722858657873 920001928202 1314288468860 1445717315746 1840003856404 2300004820505 2891434631492 3614293289365 4600009641010 5060010605111 7228586578730 9200019282020 10120021210222 14457173157460 20240042420444 25300053025555 50600106051110 101200212102220