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21212201202100 = 22521743290180591
BaseRepresentation
bin1001101001010110110011…
…01101111011000110110100
32210002212101202212220101021
410310223121231323012310
510240020042001431400
6113040430052510524
74316350056153466
oct464533155730664
983085352786337
1021212201202100
116839053639927
12246709731b444
13bab3c061b74c
14534966dba136
1526bba0cd771a
hex134ad9b7b1b4

21212201202100 has 72 divisors (see below), whose sum is σ = 49871597263488. Its totient is φ = 7800054259200.

The previous prime is 21212201202097. The next prime is 21212201202103. The reversal of 21212201202100 is 120210221212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21212201202097) and next prime (21212201202103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212201202103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145017196 + ... + 145163395.

It is an arithmetic number, because the mean of its divisors is an integer number (692661073104).

Almost surely, 221212201202100 is an apocalyptic number.

21212201202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212201202100 is an abundant number, since it is smaller than the sum of its proper divisors (28659396061388).

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

21212201202100 is a wasteful number, since it uses less digits than its factorization.

21212201202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290180665 (or 290180658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21212201202100 its reverse (120210221212), we get a palindrome (21332411423312).

The spelling of 21212201202100 in words is "twenty-one trillion, two hundred twelve billion, two hundred one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 170 172 215 340 425 430 731 850 860 1075 1462 1700 2150 2924 3655 4300 7310 14620 18275 36550 73100 290180591 580361182 1160722364 1450902955 2901805910 4933070047 5803611820 7254514775 9866140094 12477765413 14509029550 19732280188 24665350235 24955530826 29018059100 49330700470 49911061652 62388827065 98661400940 123326751175 124777654130 212122012021 246653502350 249555308260 311944135325 424244024042 493307004700 623888270650 848488048084 1060610060105 1247776541300 2121220120210 4242440240420 5303050300525 10606100601050 21212201202100