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12010100101201 = 411972617568189
BaseRepresentation
bin1010111011000101000111…
…0000000001000001010001
31120112011011112012101221201
42232301101300001001101
53033233141111214301
641313210330151201
72346462322320466
oct256612160010121
946464145171851
1012010100101201
11391050044a384
12141b77a282501
13691717057927
142d741315b66d
1515c6249a3201
hexaec51c01051

12010100101201 has 16 divisors (see below), whose sum is σ = 12370228128720. Its totient is φ = 11653217694720.

The previous prime is 12010100101199. The next prime is 12010100101247. The reversal of 12010100101201 is 10210100101021.

It can be written as a sum of positive squares in 8 ways, for example, as 450508097601 + 11559592003600 = 671199^2 + 3399940^2 .

It is a cyclic number.

It is not a de Polignac number, because 12010100101201 - 21 = 12010100101199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12010100102201) 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, 20853415 + ... + 21421603.

It is an arithmetic number, because the mean of its divisors is an integer number (773139258045).

Almost surely, 212010100101201 is an apocalyptic number.

It is an amenable number.

12010100101201 is a deficient number, since it is larger than the sum of its proper divisors (360128027519).

12010100101201 is a wasteful number, since it uses less digits than its factorization.

12010100101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571044.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12010100101201 its reverse (10210100101021), we get a palindrome (22220200202222).

The spelling of 12010100101201 in words is "twelve trillion, ten billion, one hundred million, one hundred one thousand, two hundred one".

Divisors: 1 41 197 2617 8077 107297 515549 568189 21137509 23295749 111933233 1486950613 4589262553 60964975133 292929270761 12010100101201