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10020121102112 = 25111912591190011
BaseRepresentation
bin1001000111001111110111…
…0000100100011100100000
31022110220200110122010221112
42101303331300210130200
52303132202000231422
633151102522042452
72052633641032502
oct221637560443440
938426613563845
1010020121102112
113213567157930
121159b72349428
13578b7c9548c4
14268d95539d72
151259a6630ee2
hex91cfdc24720

10020121102112 has 96 divisors (see below), whose sum is σ = 22671156614400. Its totient is φ = 4311453830400.

The previous prime is 10020121102111. The next prime is 10020121102139. The reversal of 10020121102112 is 21120112102001.

It is not an unprimeable number, because it can be changed into a prime (10020121102111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7825187 + ... + 9015197.

It is an arithmetic number, because the mean of its divisors is an integer number (236157881400).

Almost surely, 210020121102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020121102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335578307200).

10020121102112 is an abundant number, since it is smaller than the sum of its proper divisors (12651035512288).

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

10020121102112 is a wasteful number, since it uses less digits than its factorization.

10020121102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191310 (or 1191302 counting only the distinct ones).

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

Adding to 10020121102112 its reverse (21120112102001), we get a palindrome (31140233204113).

The spelling of 10020121102112 in words is "ten trillion, twenty billion, one hundred twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1259 1672 2518 3344 5036 6688 10072 13849 20144 23921 27698 40288 47842 55396 95684 110792 191368 221584 263131 382736 443168 526262 765472 1052524 1190011 2105048 2380022 4210096 4760044 8420192 9520088 13090121 19040176 22610209 26180242 38080352 45220418 52360484 90440836 104720968 180881672 209441936 248712299 361763344 418883872 497424598 723526688 994849196 1498223849 1989698392 2996447698 3979396784 5992895396 7958793568 11985790792 16480462339 23971581584 28466253131 32960924678 47943163168 56932506262 65921849356 113865012524 131843698712 227730025048 263687397424 313128784441 455460050096 527374794848 626257568882 910920100192 1252515137764 2505030275528 5010060551056 10020121102112