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10100201201200 = 2452112208681843
BaseRepresentation
bin1001001011111010001011…
…1001111001111000110000
31022202120101101110200020101
42102332202321321320300
52310440203001414300
633251545100322144
72061500254452235
oct222764271717060
938676341420211
1010100201201200
1132445202a2600
1211715a0b43354
135835a2552c16
1426cbd0ba578c
15127ae1b72b6a
hex92fa2e79e30

10100201201200 has 90 divisors (see below), whose sum is σ = 26672252527172. Its totient is φ = 3672800419200.

The previous prime is 10100201201197. The next prime is 10100201201221. The reversal of 10100201201200 is 210210200101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 17 ways as a sum of consecutive naturals, for example, 104292522 + ... + 104389321.

Almost surely, 210100201201200 is an apocalyptic number.

10100201201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100201201200 is an abundant number, since it is smaller than the sum of its proper divisors (16572051325972).

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

10100201201200 is a wasteful number, since it uses less digits than its factorization.

10100201201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208681883 (or 208681861 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100201201200 its reverse (210210200101), we get a palindrome (10310411401301).

The spelling of 10100201201200 in words is "ten trillion, one hundred billion, two hundred one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 208681843 417363686 834727372 1043409215 1669454744 2086818430 2295500273 3338909488 4173636860 4591000546 5217046075 8347273720 9182001092 10434092150 11477501365 16694547440 18364002184 20868184300 22955002730 25250503003 36728004368 41736368600 45910005460 50501006006 57387506825 83472737200 91820010920 101002012012 114775013650 126252515015 183640021840 202004024024 229550027300 252505030030 404008048048 459100054600 505010060060 631262575075 918200109200 1010020120120 1262525150150 2020040240240 2525050300300 5050100600600 10100201201200