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101021010000100 = 22524398101284059
BaseRepresentation
bin10110111110000011001001…
…011010100111100011100100
3111020200111212212202112200121
4112332003021122213203210
5101220112012030000400
6554504224502251324
730164345542016011
oct2676031132474344
9436614785675617
10101021010000100
112a208851595113
12b3b666ba26b44
13444a3181181b8
141ad362b732708
15ba2bc57ab21a
hex5be0c96a78e4

101021010000100 has 72 divisors (see below), whose sum is σ = 219742839377600. Its totient is φ = 40311238896000.

The previous prime is 101021010000061. The next prime is 101021010000149. The reversal of 101021010000100 is 1000010120101.

It is a super-2 number, since 2×1010210100001002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355491871 + ... + 355775929.

Almost surely, 2101021010000100 is an apocalyptic number.

101021010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021010000100 is an abundant number, since it is smaller than the sum of its proper divisors (118721829377500).

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

101021010000100 is a wasteful number, since it uses less digits than its factorization.

101021010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292613 (or 292606 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101021010000100 its reverse (1000010120101), we get a palindrome (102021020120201).

The spelling of 101021010000100 in words is "one hundred one trillion, twenty-one billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 439 878 1756 2195 4390 8101 8780 10975 16202 21950 32404 40505 43900 81010 162020 202525 284059 405050 568118 810100 1136236 1420295 2840590 3556339 5681180 7101475 7112678 14202950 14225356 17781695 28405900 35563390 71126780 88908475 124701901 177816950 249403802 355633900 498807604 623509505 1247019010 2301161959 2494038020 3117547525 4602323918 6235095050 9204647836 11505809795 12470190100 23011619590 46023239180 57529048975 115058097950 230116195900 1010210100001 2020420200002 4040840400004 5051050500005 10102101000010 20204202000020 25255252500025 50510505000050 101021010000100