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101102010200020 = 2251923910159109579
BaseRepresentation
bin10110111111001110100101…
…011001110110111111010100
3111020222020221220221001001001
4112333032211121312333110
5101222423404102400040
6555005342225513044
730203244030243244
oct2677164531667724
9436866856831031
10101102010200020
112a23a1380411a5
12b40a2b67a2784
134454b5652a18b
141ad751326bb24
15ba4d6699a59a
hex5bf3a5676fd4

101102010200020 has 96 divisors (see below), whose sum is σ = 224447892480000. Its totient is φ = 38147934400128.

The previous prime is 101102010200017. The next prime is 101102010200029. The reversal of 101102010200020 is 20002010201101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102010200029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922585591 + ... + 922695169.

It is an arithmetic number, because the mean of its divisors is an integer number (2337998880000).

Almost surely, 2101102010200020 is an apocalyptic number.

101102010200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102010200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112223946240000).

101102010200020 is an abundant number, since it is smaller than the sum of its proper divisors (123345882279980).

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

101102010200020 is a wasteful number, since it uses less digits than its factorization.

101102010200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120005 (or 120003 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101102010200020 its reverse (20002010201101), we get a palindrome (121104020401121).

The spelling of 101102010200020 in words is "one hundred one trillion, one hundred two billion, ten million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 239 380 478 956 1195 2390 4541 4780 9082 10159 18164 20318 22705 40636 45410 50795 90820 101590 109579 193021 203180 219158 386042 438316 547895 772084 965105 1095790 1930210 2082001 2191580 2428001 3860420 4164002 4856002 8328004 9712004 10410005 12140005 20820010 24280010 26189381 41640020 46132019 48560020 52378762 92264038 104757524 130946905 184528076 230660095 261893810 461320190 497598239 523787620 922640380 995196478 1113213061 1990392956 2226426122 2487991195 4452852244 4975982390 5566065305 9951964780 11132130610 21151048159 22264261220 42302096318 84604192636 105755240795 211510481590 266057921579 423020963180 532115843158 1064231686316 1330289607895 2660579215790 5055100510001 5321158431580 10110201020002 20220402040004 25275502550005 50551005100010 101102010200020