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10010212100100 = 22335219843186841
BaseRepresentation
bin1001000110101010111100…
…1000101110100000000100
31022102222002220002200121000
42101222233020232200010
52303001403244200400
633142343345453300
72052133246641012
oct221525710564004
938388086080530
1010010212100100
11320a341845a73
121158067941230
13577c60a786c4
142686d55038b2
151255c674a600
hex91aaf22e804

10010212100100 has 144 divisors (see below), whose sum is σ = 32182772184640. Its totient is φ = 2669241081600.

The previous prime is 10010212099997. The next prime is 10010212100129. The reversal of 10010212100100 is 100121201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53482680 + ... + 53669520.

Almost surely, 210010212100100 is an apocalyptic number.

10010212100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010212100100 is an abundant number, since it is smaller than the sum of its proper divisors (22172560084540).

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

10010212100100 is a wasteful number, since it uses less digits than its factorization.

10010212100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206707 (or 206694 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010212100100 its reverse (100121201001), we get a palindrome (10110333301101).

It can be divided in two parts, 1001021 and 2100100, that added together give a square (3101121 = 17612).

The spelling of 10010212100100 in words is "ten trillion, ten billion, two hundred twelve million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 19843 39686 59529 79372 99215 119058 178587 186841 198430 238116 297645 357174 373682 396860 496075 535761 560523 595290 714348 747364 892935 934205 992150 1071522 1121046 1190580 1488225 1681569 1785870 1868410 1984300 2143044 2242092 2678805 2802615 2976450 3363138 3571740 3736820 4464675 4671025 5044707 5357610 5605230 5952900 6726276 8407845 8929350 9342050 10089414 10715220 11210460 13394025 14013075 16815690 17858700 18684100 20178828 25223535 26788050 28026150 33631380 42039225 50447070 53576100 56052300 84078450 100894140 126117675 168156900 252235350 504470700 3707485963 7414971926 11122457889 14829943852 18537429815 22244915778 33367373667 37074859630 44489831556 55612289445 66734747334 74149719260 92687149075 100102121001 111224578890 133469494668 166836868335 185374298150 200204242002 222449157780 278061447225 333673736670 370748596300 400408484004 500510605005 556122894450 667347473340 834184341675 1001021210010 1112245788900 1668368683350 2002042420020 2502553025025 3336737366700 5005106050050 10010212100100