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100211002100 = 22521129119091
BaseRepresentation
bin101110101010100001…
…0101000101011110100
3100120122212200100201022
41131111002220223310
53120213004031400
6114011501320312
710145215314656
oct1352502505364
9316585610638
10100211002100
1139554553100
1217508566098
1395b0449761
144bc90a86d6
152917a18b85
hex17550a8af4

100211002100 has 108 divisors (see below), whose sum is σ = 239312641344. Its totient is φ = 36396360000.

The previous prime is 100211002081. The next prime is 100211002109. The reversal of 100211002100 is 1200112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211002109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11018555 + ... + 11027645.

Almost surely, 2100211002100 is an apocalyptic number.

100211002100 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 100211002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119656320672).

100211002100 is an abundant number, since it is smaller than the sum of its proper divisors (139101639244).

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

100211002100 is a wasteful number, since it uses less digits than its factorization.

100211002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100211002100 its reverse (1200112001), we get a palindrome (101411114101).

It can be divided in two parts, 10021 and 1002100, that multiplied together give a square (10042044100 = 1002102).

The spelling of 100211002100 in words is "one hundred billion, two hundred eleven million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 911 1100 1210 1822 2420 3025 3644 4555 6050 9091 9110 10021 12100 18182 18220 20042 22775 36364 40084 45455 45550 50105 90910 91100 100001 100210 110231 181820 200002 200420 220462 227275 250525 400004 440924 454550 500005 501050 551155 909100 1000010 1002100 1100011 1102310 2000020 2200022 2204620 2500025 2755775 4400044 5000050 5500055 5511550 8281901 10000100 11000110 11023100 16563802 22000220 27500275 33127604 41409505 55000550 82819010 91100911 110001100 165638020 182201822 207047525 364403644 414095050 455504555 828190100 911009110 1002110021 1822018220 2004220042 2277522775 4008440084 4555045550 5010550105 9110091100 10021100210 20042200420 25052750525 50105501050 100211002100