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12101002100000 = 25551111000911
BaseRepresentation
bin1011000000010111101111…
…1011100111110100100000
31120211211210122100101210222
42300011323323213310200
53041230323014200000
641423042411342212
72356161053466242
oct260057373476440
946754718311728
1012101002100000
113946008238520
121435309151968
1369a1729c32b8
142db997b76092
1515eb95103a85
hexb017bee7d20

12101002100000 has 144 divisors (see below), whose sum is σ = 32484989077632. Its totient is φ = 4400364000000.

The previous prime is 12101002099999. The next prime is 12101002100017. The reversal of 12101002100000 is 120010121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4400456 + ... + 6600455.

It is an arithmetic number, because the mean of its divisors is an integer number (225590201928).

Almost surely, 212101002100000 is an apocalyptic number.

12101002100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101002100000 is an abundant number, since it is smaller than the sum of its proper divisors (20383986977632).

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

12101002100000 is an equidigital number, since it uses as much as digits as its factorization.

12101002100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000957 (or 11000929 counting only the distinct ones).

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

Adding to 12101002100000 its reverse (120010121), we get a palindrome (12101122110121).

The spelling of 12101002100000 in words is "twelve trillion, one hundred one billion, two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 220000 275000 550000 1100000 11000911 22001822 44003644 55004555 88007288 110009110 121010021 176014576 220018220 242020042 275022775 352029152 440036440 484040084 550045550 605050105 880072880 968080168 1100091100 1210100210 1375113875 1760145760 1936160336 2200182200 2420200420 2750227750 3025250525 3872320672 4400364400 4840400840 5500455500 6050501050 6875569375 8800728800 9680801680 11000911000 12101002100 13751138750 15126252625 19361603360 22001822000 24202004200 27502277500 30252505250 34377846875 44003644000 48404008400 55004555000 60505010500 68755693750 75631263125 96808016800 110009110000 121010021000 137511387500 151262526250 220018220000 242020042000 275022775000 302525052500 378156315625 484040084000 550045550000 605050105000 756312631250 1100091100000 1210100210000 1512625262500 2420200420000 3025250525000 6050501050000 12101002100000