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12122101210100 = 2252723752925541
BaseRepresentation
bin1011000001100110010110…
…0010010101101111110100
31120220212021002001020200012
42300121211202111233310
53042102030402210400
641440452202435352
72360535653121620
oct260314542255764
946825232036605
1012122101210100
113953a551241a2
121439417202b58
1369c155cc982b
142dc9da008180
151604cc5cbd35
hexb0665895bf4

12122101210100 has 72 divisors (see below), whose sum is σ = 31369889781888. Its totient is φ = 3975446851200.

The previous prime is 12122101210099. The next prime is 12122101210103. The reversal of 12122101210100 is 101210122121.

12122101210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122101210103) 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, 376446671 + ... + 376478870.

Almost surely, 212122101210100 is an apocalyptic number.

12122101210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122101210100 is an abundant number, since it is smaller than the sum of its proper divisors (19247788571788).

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

12122101210100 is a wasteful number, since it uses less digits than its factorization.

12122101210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752925585 (or 752925578 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12122101210100 its reverse (101210122121), we get a palindrome (12223311332221).

The spelling of 12122101210100 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 752925541 1505851082 3011702164 3764627705 5270478787 7529255410 10540957574 15058510820 17317287443 18823138525 21081915148 26352393935 34634574886 37646277050 52704787870 69269149772 75292554100 86586437215 105409575740 121221012101 131761969675 173172874430 242442024202 263523939350 346345748860 432932186075 484884048404 527047878700 606105060505 865864372150 1212210121010 1731728744300 2424420242020 3030525302525 6061050605050 12122101210100