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212121020001 = 31122112769457
BaseRepresentation
bin1100010110001101100…
…1011110011001100001
3202021112002010022002010
43011203121132121201
511433410440120001
6241240321343133
721216361630512
oct3054331363141
9667462108063
10212121020001
1181a61870a00
123513aa97aa9
1317006576c67
14a3a3c02a09
1557b764c8d6
hex316365e661

212121020001 has 24 divisors (see below), whose sum is σ = 312350551072. Its totient is φ = 127948867200.

The previous prime is 212121019987. The next prime is 212121020021. The reversal of 212121020001 is 100020121212.

212121020001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212121020001 - 29 = 212121019489 is a prime.

It is a super-3 number, since 3×2121210200013 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212121020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1308136 + ... + 1461321.

Almost surely, 2212121020001 is an apocalyptic number.

It is an amenable number.

212121020001 is a deficient number, since it is larger than the sum of its proper divisors (100229531071).

212121020001 is a wasteful number, since it uses less digits than its factorization.

212121020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769693 (or 2769682 counting only the distinct ones).

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

Adding to 212121020001 its reverse (100020121212), we get a palindrome (312141141213).

The spelling of 212121020001 in words is "two hundred twelve billion, one hundred twenty-one million, twenty thousand, one".

Divisors: 1 3 11 33 121 211 363 633 2321 6963 25531 76593 2769457 8308371 30464027 91392081 335104297 584355427 1005312891 1753066281 6427909697 19283729091 70707006667 212121020001