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202101010121 = 17291301315097
BaseRepresentation
bin1011110000111000101…
…0001010111011001001
3201022122202201001120002
42330032022022323021
511302400324310441
6232502142012345
720413152145643
oct2741612127311
9638582631502
10202101010121
117878a82a1aa
12332032770b5
131609a6a1a2a
149ad3151893
1553ccb3ab9b
hex2f0e28aec9

202101010121 has 16 divisors (see below), whose sum is σ = 221539101840. Its totient is φ = 183511910400.

The previous prime is 202101010081. The next prime is 202101010169. The reversal of 202101010121 is 121010101202.

202101010121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10072129600 + 192028880521 = 100360^2 + 438211^2 .

It is a cyclic number.

It is not a de Polignac number, because 202101010121 - 214 = 202100993737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202101010621) 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 15 ways as a sum of consecutive naturals, for example, 483845 + ... + 798941.

It is an arithmetic number, because the mean of its divisors is an integer number (13846193865).

Almost surely, 2202101010121 is an apocalyptic number.

It is an amenable number.

202101010121 is a deficient number, since it is larger than the sum of its proper divisors (19438091719).

202101010121 is a wasteful number, since it uses less digits than its factorization.

202101010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316444.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 202101010121 its reverse (121010101202), we get a palindrome (323111111323).

The spelling of 202101010121 in words is "two hundred two billion, one hundred one million, ten thousand, one hundred twenty-one".

Divisors: 1 17 29 493 1301 22117 37729 315097 641393 5356649 9137813 155342821 409941197 6969000349 11888294713 202101010121