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201002212010101 = 2939741957172973
BaseRepresentation
bin101101101100111101111001…
…011100100010100001110101
3222100200121211202100020110111
4231230331321130202201311
5202321210012233310401
61551255050315023021
760223634122663555
oct5554757134424165
9870617752306414
10201002212010101
1159055617621167
121a6636aa13aa71
138820572902828
14378c7b7b53165
1518387deae5e51
hexb6cf79722875

201002212010101 has 32 divisors (see below), whose sum is σ = 209323408694400. Its totient is φ = 192779391087360.

The previous prime is 201002212010069. The next prime is 201002212010129. The reversal of 201002212010101 is 101010212200102.

It is a cyclic number.

It is not a de Polignac number, because 201002212010101 - 25 = 201002212010069 is a prime.

It is a super-3 number, since 3×2010022120101013 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002212010161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2754437251 + ... + 2754510223.

It is an arithmetic number, because the mean of its divisors is an integer number (6541356521700).

Almost surely, 2201002212010101 is an apocalyptic number.

It is an amenable number.

201002212010101 is a deficient number, since it is larger than the sum of its proper divisors (8321196684299).

201002212010101 is a wasteful number, since it uses less digits than its factorization.

201002212010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74389.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201002212010101 its reverse (101010212200102), we get a palindrome (302012424210203).

The spelling of 201002212010101 in words is "two hundred one trillion, two billion, two hundred twelve million, ten thousand, one hundred one".

Divisors: 1 29 397 419 571 11513 12151 16559 72973 166343 226687 239249 2116217 4823947 6573923 6938221 28970281 30575687 41667583 94981853 840138149 886694923 1208359907 2754473737 12138547739 16542030451 17458717277 352017884431 479718883079 506302801033 6931110758969 201002212010101