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12101222100 = 22352112333367
BaseRepresentation
bin10110100010100100…
…11111111011010100
31011020100120202222010
423101102133323110
5144240403101400
65320443104220
7605610455622
oct132122377324
934210522863
1012101222100
11514a908300
122418812070
1311ab115666
1482b24a512
154ac5b7450
hex2d149fed4

12101222100 has 108 divisors (see below), whose sum is σ = 38485335392. Its totient is φ = 2933620800.

The previous prime is 12101222069. The next prime is 12101222101. The reversal of 12101222100 is 122210121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130384 + ... + 202983.

Almost surely, 212101222100 is an apocalyptic number.

12101222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101222100 is an abundant number, since it is smaller than the sum of its proper divisors (26384113292).

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

12101222100 is a wasteful number, since it uses less digits than its factorization.

12101222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333406 (or 333388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12101222100 its reverse (122210121), we get a palindrome (12223432221).

The spelling of 12101222100 in words is "twelve billion, one hundred one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 333367 666734 1000101 1333468 1666835 2000202 3333670 3667037 4000404 5000505 6667340 7334074 8334175 10001010 11001111 14668148 16668350 18335185 20002020 22002222 25002525 33336700 36670370 40337407 44004444 50005050 55005555 73340740 80674814 91675925 100010100 110011110 121012221 161349628 183351850 201687035 220022220 242024442 275027775 366703700 403374070 484048884 550055550 605061105 806748140 1008435175 1100111100 1210122210 2016870350 2420244420 3025305525 4033740700 6050611050 12101222100