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10010202202120 = 2351929795749157
BaseRepresentation
bin1001000110101010111010…
…0010111110000000001000
31022102222002012110211010011
42101222232202332000020
52303001343230431440
633142342353401304
72052133066544641
oct221525642760010
938388065424104
1010010202202120
11320a3371a551a
121158064569234
13577c5b9c1403
142686d40886c8
151255c59429ea
hex91aae8be008

10010202202120 has 128 divisors (see below), whose sum is σ = 24836362560000. Its totient is φ = 3616173130752.

The previous prime is 10010202202111. The next prime is 10010202202211. The reversal of 10010202202120 is 2120220201001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10010202202120.

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, 1133419 + ... + 4615738.

It is an arithmetic number, because the mean of its divisors is an integer number (194034082500).

Almost surely, 210010202202120 is an apocalyptic number.

10010202202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010202202120 is an abundant number, since it is smaller than the sum of its proper divisors (14826160357880).

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

10010202202120 is a wasteful number, since it uses less digits than its factorization.

10010202202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749295 (or 5749291 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10010202202120 its reverse (2120220201001), we get a palindrome (12130422403121).

The spelling of 10010202202120 in words is "ten trillion, ten billion, two hundred two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 79 95 116 145 152 158 190 232 290 316 380 395 551 580 632 760 790 1102 1160 1501 1580 2204 2291 2755 3002 3160 4408 4582 5510 6004 7505 9164 11020 11455 12008 15010 18328 22040 22910 30020 43529 45820 60040 87058 91640 174116 217645 348232 435290 870580 1741160 5749157 11498314 22996628 28745785 45993256 57491570 109233983 114983140 166725553 218467966 229966280 333451106 436935932 454183403 546169915 666902212 833627765 873871864 908366806 1092339830 1333804424 1667255530 1816733612 2184679660 2270917015 3167785507 3334511060 3633467224 4369359320 4541834030 6335571014 6669022120 8629484657 9083668060 12671142028 13171318687 15838927535 17258969314 18167336120 25342284056 26342637374 31677855070 34517938628 43147423285 52685274748 63355710140 65856593435 69035877256 86294846570 105370549496 126711420280 131713186870 172589693140 250255055053 263426373740 345179386280 500510110106 526852747480 1001020220212 1251275275265 2002040440424 2502550550530 5005101101060 10010202202120