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101220210200220 = 223521164712357461
BaseRepresentation
bin10111000000111100101010…
…101011000100111010011100
3111021101120001111002012000020
4113000330222223010322130
5101231342442302401340
6555135531142032140
730214630111541646
oct2700745253047234
9437346044065006
10101220210200220
112a285282941881
12b4291a3718650
1344630428245b7
141add1274db896
15ba7e838e79d0
hex5c0f2aac4e9c

101220210200220 has 96 divisors (see below), whose sum is σ = 285199941551616. Its totient is φ = 26822608377600.

The previous prime is 101220210200203. The next prime is 101220210200267. The reversal of 101220210200220 is 22002012022101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101220210200220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2012290 + ... + 14369750.

It is an arithmetic number, because the mean of its divisors is an integer number (2970832724496).

Almost surely, 2101220210200220 is an apocalyptic number.

101220210200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220210200220 is an abundant number, since it is smaller than the sum of its proper divisors (183979731351396).

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

101220210200220 is a wasteful number, since it uses less digits than its factorization.

101220210200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12358331 (or 12358329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101220210200220 its reverse (22002012022101), we get a palindrome (123222222222321).

The spelling of 101220210200220 in words is "one hundred one trillion, two hundred twenty billion, two hundred ten million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 211 422 633 647 844 1055 1266 1294 1941 2110 2532 2588 3165 3235 3882 4220 6330 6470 7764 9705 12660 12940 19410 38820 136517 273034 409551 546068 682585 819102 1365170 1638204 2047755 2730340 4095510 8191020 12357461 24714922 37072383 49429844 61787305 74144766 123574610 148289532 185361915 247149220 370723830 741447660 2607424271 5214848542 7822272813 7995277267 10429697084 13037121355 15644545626 15990554534 23985831801 26074242710 31289091252 31981109068 39111364065 39976386335 47971663602 52148485420 78222728130 79952772670 95943327204 119929159005 156445456260 159905545340 239858318010 479716636020 1687003503337 3374007006674 5061010510011 6748014013348 8435017516685 10122021020022 16870035033370 20244042040044 25305052550055 33740070066740 50610105100110 101220210200220