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10222101002100 = 223521319137950081
BaseRepresentation
bin1001010011000000010010…
…1100101111011101110100
31100012020000210110011122010
42110300010230233131310
52314434330324031400
633423545100204220
72103344122614621
oct224600454573564
940166023404563
1010222101002100
113291194587209
121191140b39670
13591c2b201320
14274a76563348
1512ad787e7450
hex94c04b2f774

10222101002100 has 144 divisors (see below), whose sum is σ = 33527387929280. Its totient is φ = 2383777382400.

The previous prime is 10222101002093. The next prime is 10222101002143. The reversal of 10222101002100 is 120010122201.

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, 68900941 + ... + 69049140.

Almost surely, 210222101002100 is an apocalyptic number.

10222101002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222101002100 is an abundant number, since it is smaller than the sum of its proper divisors (23305286927180).

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

10222101002100 is a wasteful number, since it uses less digits than its factorization.

10222101002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137950130 (or 137950123 counting only the distinct ones).

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

Adding to 10222101002100 its reverse (120010122201), we get a palindrome (10342111124301).

The spelling of 10222101002100 in words is "ten trillion, two hundred twenty-two billion, one hundred one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 780 950 975 988 1140 1235 1300 1425 1482 1900 1950 2470 2850 2964 3705 3900 4940 5700 6175 7410 12350 14820 18525 24700 37050 74100 137950081 275900162 413850243 551800324 689750405 827700486 1379500810 1655400972 1793351053 2069251215 2621051539 2759001620 3448752025 3586702106 4138502430 5242103078 5380053159 6897504050 7173404212 7863154617 8277004860 8966755265 10346256075 10484206156 10760106318 13105257695 13795008100 15726309234 17933510530 20692512150 21520212636 26210515390 26900265795 31452618468 34073670007 35867021060 39315773085 41385024300 44833776325 52421030780 53800531590 65526288475 68147340014 78631546170 89667552650 102221010021 107601063180 131052576950 134501328975 136294680028 157263092340 170368350035 179335105300 196578865425 204442020042 262105153900 269002657950 340736700070 393157730850 408884040084 511105050105 538005315900 681473400140 786315461700 851841750175 1022210100210 1703683500350 2044420200420 2555525250525 3407367000700 5111050501050 10222101002100