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212021020100001 = 3789354731982207
BaseRepresentation
bin110000001101010011111101…
…100101101000010110100001
31000210201000022102201212202010
4300031103331211220112201
5210242223022121200001
62030533040105143133
762442004346251440
oct6015237545502641
91023630272655663
10212021020100001
1161613678519422
121b94311678aaa9
13913c65b7b0358
143a4dc2d188d57
15197a24757c8d6
hexc0d4fd9685a1

212021020100001 has 32 divisors (see below), whose sum is σ = 326801877073920. Its totient is φ = 119759801014656.

The previous prime is 212021020099981. The next prime is 212021020100047. The reversal of 212021020100001 is 100001020120212.

It is not a de Polignac number, because 212021020100001 - 25 = 212021020099969 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212021020100001.

It is not an unprimeable number, because it can be changed into a prime (212021020100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9361761 + ... + 22620446.

It is an arithmetic number, because the mean of its divisors is an integer number (10212558658560).

Almost surely, 2212021020100001 is an apocalyptic number.

212021020100001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212021020100001 is a deficient number, since it is larger than the sum of its proper divisors (114780856973919).

212021020100001 is a wasteful number, since it uses less digits than its factorization.

212021020100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31985853.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212021020100001 its reverse (100001020120212), we get a palindrome (312022040220213).

The spelling of 212021020100001 in words is "two hundred twelve trillion, twenty-one billion, twenty million, one hundred thousand, one".

Divisors: 1 3 7 21 89 267 623 1869 3547 10641 24829 74487 315683 947049 2209781 6629343 31982207 95946621 223875449 671626347 2846416423 8539249269 19924914961 59774744883 113440888229 340322664687 794086217603 2382258652809 10096239052381 30288717157143 70673673366667 212021020100001