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2101202210100 = 2235276823146647
BaseRepresentation
bin11110100100111001011…
…010010100110100110100
321102212120101122210102210
4132210321122110310310
5233411230231210400
64245140131333420
7304543515045210
oct36447132246464
97385511583383
102101202210100
11740129962154
1229b288451270
131231b1160226
14739ad457940
15399cca3c950
hex1e939694d34

2101202210100 has 144 divisors (see below), whose sum is σ = 6949041010688. Its totient is φ = 480201125760.

The previous prime is 2101202210099. The next prime is 2101202210123. The reversal of 2101202210100 is 10122021012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 14254977 + ... + 14401623.

Almost surely, 22101202210100 is an apocalyptic number.

2101202210100 is a gapful number since it is divisible by the number (20) 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 2101202210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474520505344).

2101202210100 is an abundant number, since it is smaller than the sum of its proper divisors (4847838800588).

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

2101202210100 is a wasteful number, since it uses less digits than its factorization.

2101202210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153494 (or 153487 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101202210100 its reverse (10122021012), we get a palindrome (2111324231112).

The spelling of 2101202210100 in words is "two trillion, one hundred one billion, two hundred two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6823 13646 20469 27292 34115 40938 47761 68230 81876 95522 102345 136460 143283 146647 170575 191044 204690 238805 286566 293294 341150 409380 439941 477610 511725 573132 586588 682300 716415 733235 879882 955220 1023450 1026529 1194025 1432830 1466470 1759764 2046900 2053058 2199705 2388050 2865660 2932940 3079587 3582075 3666175 4106116 4399410 4776100 5132645 6159174 7164150 7332350 8798820 10265290 10998525 12318348 14328300 14664700 15397935 20530580 21997050 25663225 30795870 43994100 51326450 61591740 76989675 102652900 153979350 307958700 1000572481 2001144962 3001717443 4002289924 5002862405 6003434886 7004007367 10005724810 12006869772 14008014734 15008587215 20011449620 21012022101 25014312025 28016029468 30017174430 35020036835 42024044202 50028624050 60034348860 70040073670 75042936075 84048088404 100057248100 105060110505 140080147340 150085872150 175100184175 210120221010 300171744300 350200368350 420240442020 525300552525 700400736700 1050601105050 2101202210100