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201022002120121 = 71313011697950031
BaseRepresentation
bin101101101101010000010101…
…000001110100010110111001
3222100202111220221220222210021
4231231100111001310112321
5202322021030020320441
61551312122145450441
760225234416102410
oct5555202501642671
9870674827828707
10201022002120121
1159062a52622796
121a6674b1940a21
1388223a796c6c0
14378d734200477
15183909c2023d1
hexb6d4150745b9

201022002120121 has 16 divisors (see below), whose sum is σ = 247601865466368. Its totient is φ = 158928122808000.

The previous prime is 201022002120083. The next prime is 201022002120133. The reversal of 201022002120121 is 121021200220102.

It is a happy number.

It is not a de Polignac number, because 201022002120121 - 235 = 200987642381753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201022002120095 and 201022002120104.

It is not an unprimeable number, because it can be changed into a prime (201022002150121) 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 15 ways as a sum of consecutive naturals, for example, 848856625 + ... + 849093406.

It is an arithmetic number, because the mean of its divisors is an integer number (15475116591648).

Almost surely, 2201022002120121 is an apocalyptic number.

It is an amenable number.

201022002120121 is a deficient number, since it is larger than the sum of its proper divisors (46579863346247).

201022002120121 is a wasteful number, since it uses less digits than its factorization.

201022002120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697951352.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201022002120121 its reverse (121021200220102), we get a palindrome (322043202340223).

The spelling of 201022002120121 in words is "two hundred one trillion, twenty-two billion, two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 13 91 1301 9107 16913 118391 1697950031 11885650217 22073350403 154513452821 2209032990331 15463230932317 28717428874303 201022002120121