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12010101202100 = 2252177843990067
BaseRepresentation
bin1010111011000101000111…
…0100001101110010110100
31120112011011121021100002202
42232301101310031302310
53033233141401431400
641313210405524032
72346462334554221
oct256612164156264
946464147240082
1012010101202100
113910501031511
12141b77a713618
13691717351a51
142d7413366948
1515c624b1e4d5
hexaec51d0dcb4

12010101202100 has 72 divisors (see below), whose sum is σ = 27595631891520. Its totient is φ = 4521342021120.

The previous prime is 12010101202087. The next prime is 12010101202147. The reversal of 12010101202100 is 120210101021.

12010101202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 133301267 + ... + 133391333.

It is an arithmetic number, because the mean of its divisors is an integer number (383272665160).

Almost surely, 212010101202100 is an apocalyptic number.

12010101202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010101202100 is an abundant number, since it is smaller than the sum of its proper divisors (15585530689420).

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

12010101202100 is a wasteful number, since it uses less digits than its factorization.

12010101202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168537 (or 168530 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12010101202100 its reverse (120210101021), we get a palindrome (12130311303121).

The spelling of 12010101202100 in words is "twelve trillion, ten billion, one hundred one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 78439 90067 156878 180134 313756 360268 392195 450335 784390 900670 1333463 1531139 1568780 1801340 1960975 2251675 2666926 3062278 3921950 4503350 5333852 6124556 6667315 7655695 7843900 9006700 13334630 15311390 26669260 30622780 33336575 38278475 66673150 76556950 133346300 153113900 7064765413 14129530826 28259061652 35323827065 70647654130 120101012021 141295308260 176619135325 240202024042 353238270650 480404048084 600505060105 706476541300 1201010120210 2402020240420 3002525300525 6005050601050 12010101202100