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2100111122100 = 2235229241392083
BaseRepresentation
bin11110100011111000011…
…000001001111010110100
321102202202100120210002010
4132203320120021322310
5233402011421401400
64244435553444220
7304504466000505
oct36437030117264
97382670523063
102100111122100
1173a719a84632
1229b022b70670
131230690acb24
1473908598bac
1539966d67450
hex1e8f8609eb4

2100111122100 has 72 divisors (see below), whose sum is σ = 6285849867360. Its totient is φ = 540718263680.

The previous prime is 2100111122093. The next prime is 2100111122111. The reversal of 2100111122100 is 12211110012.

It is a super-2 number, since 2×21001111221002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120687342 + ... + 120704741.

It is an arithmetic number, because the mean of its divisors is an integer number (87303470380).

Almost surely, 22100111122100 is an apocalyptic number.

2100111122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100111122100 is an abundant number, since it is smaller than the sum of its proper divisors (4185738745260).

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

2100111122100 is a wasteful number, since it uses less digits than its factorization.

2100111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241392129 (or 241392122 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2100111122100 its reverse (12211110012), we get a palindrome (2112322232112).

The spelling of 2100111122100 in words is "two trillion, one hundred billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 241392083 482784166 724176249 965568332 1206960415 1448352498 2413920830 2896704996 3620881245 4827841660 6034802075 7000370407 7241762490 12069604150 14000740814 14483524980 18104406225 21001111221 24139208300 28001481628 35001852035 36208812450 42002222442 70003704070 72417624900 84004444884 105005556105 140007408140 175009260175 210011112210 350018520350 420022224420 525027780525 700037040700 1050055561050 2100111122100