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1010211020100 = 2232522514471939
BaseRepresentation
bin11101011001101010100…
…01001101110101000100
310120120112100020222202200
432230311101031311010
5113022403010120400
62052030132034500
7132661653663642
oct16546521156504
93516470228680
101010211020100
1135a47886a487
12143951762a30
13743548cb279
1436c7461a192
151b427e08b00
hexeb3544dd44

1010211020100 has 108 divisors (see below), whose sum is σ = 3179066370480. Its totient is φ = 268316280000.

The previous prime is 1010211020081. The next prime is 1010211020123. The reversal of 1010211020100 is 10201120101.

It is a happy number.

1010211020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 2010070 + ... + 2461869.

Almost surely, 21010211020100 is an apocalyptic number.

1010211020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010211020100 is an abundant number, since it is smaller than the sum of its proper divisors (2168855350380).

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

1010211020100 is a wasteful number, since it uses less digits than its factorization.

1010211020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472210 (or 4472200 counting only the distinct ones).

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

Adding to 1010211020100 its reverse (10201120101), we get a palindrome (1020412140201).

The spelling of 1010211020100 in words is "one trillion, ten billion, two hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 251 300 450 502 753 900 1004 1255 1506 2259 2510 3012 3765 4518 5020 6275 7530 9036 11295 12550 15060 18825 22590 25100 37650 45180 56475 75300 112950 225900 4471939 8943878 13415817 17887756 22359695 26831634 40247451 44719390 53663268 67079085 80494902 89438780 111798475 134158170 160989804 201237255 223596950 268316340 335395425 402474510 447193900 670790850 804949020 1006186275 1122456689 1341581700 2012372550 2244913378 3367370067 4024745100 4489826756 5612283445 6734740134 10102110201 11224566890 13469480268 16836850335 20204220402 22449133780 28061417225 33673700670 40408440804 50510551005 56122834450 67347401340 84184251675 101021102010 112245668900 168368503350 202042204020 252552755025 336737006700 505105510050 1010211020100