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1021200100000 = 255571143831
BaseRepresentation
bin11101101110001000100…
…01001110101010100000
310121121220012011002102221
432313010101032222200
5113212404211200000
62101044410120424
7133531201425523
oct16670421165240
93547805132387
101021200100000
113640a79198a3
12145ab9a20114
13753b64a1302
14375d7c86bba
151b86ca3c61a
hexedc444eaa0

1021200100000 has 144 divisors (see below), whose sum is σ = 2548360144512. Its totient is φ = 402724000000.

The previous prime is 1021200099967. The next prime is 1021200100001. The reversal of 1021200100000 is 10021201.

It is not an unprimeable number, because it can be changed into a prime (1021200100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7028085 + ... + 7171915.

It is an arithmetic number, because the mean of its divisors is an integer number (17696945448).

Almost surely, 21021200100000 is an apocalyptic number.

1021200100000 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 1021200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274180072256).

1021200100000 is an abundant number, since it is smaller than the sum of its proper divisors (1527160044512).

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

1021200100000 is an frugal number, since it uses more digits than its factorization.

1021200100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143937 (or 143909 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1021200100000 its reverse (10021201), we get a palindrome (1021210121201).

The spelling of 1021200100000 in words is "one trillion, twenty-one billion, two hundred million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 160 200 250 284 355 400 500 568 625 710 800 1000 1136 1250 1420 1775 2000 2272 2500 2840 3125 3550 4000 5000 5680 6250 7100 8875 10000 11360 12500 14200 17750 20000 25000 28400 35500 44375 50000 56800 71000 88750 100000 142000 143831 177500 221875 284000 287662 355000 443750 575324 710000 719155 887500 1150648 1420000 1438310 1775000 2301296 2876620 3550000 3595775 4602592 5753240 7100000 7191550 10212001 11506480 14383100 17978875 20424002 23012960 28766200 35957750 40848004 51060005 57532400 71915500 81696008 89894375 102120010 115064800 143831000 163392016 179788750 204240020 255300025 287662000 326784032 359577500 408480040 449471875 510600050 575324000 719155000 816960080 898943750 1021200100 1276500125 1438310000 1633920160 1797887500 2042400200 2553000250 2876620000 3595775000 4084800400 5106000500 6382500625 7191550000 8169600800 10212001000 12765001250 14383100000 20424002000 25530002500 31912503125 40848004000 51060005000 63825006250 102120010000 127650012500 204240020000 255300025000 510600050000 1021200100000