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201002010100221 = 31136514716680871
BaseRepresentation
bin101101101100111101101101…
…011010010100000111111101
3222100200121022200102011011210
4231230331231122110013331
5202321204104041201341
61551255014303235033
760223626121533201
oct5554755532240775
9870617280364153
10201002010100221
11590555236542a0
121a6636525a8a79
13882053cb2a125
14378c798dd4b01
1518387cc010c16
hexb6cf6d6941fd

201002010100221 has 16 divisors (see below), whose sum is σ = 292367378354688. Its totient is φ = 121819059140400.

The previous prime is 201002010100147. The next prime is 201002010100253. The reversal of 201002010100221 is 122001010200102.

It is not a de Polignac number, because 201002010100221 - 229 = 201001473229309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201002010100197 and 201002010100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002010100261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3709416 + ... + 20390286.

It is an arithmetic number, because the mean of its divisors is an integer number (18272961147168).

Almost surely, 2201002010100221 is an apocalyptic number.

It is an amenable number.

201002010100221 is a deficient number, since it is larger than the sum of its proper divisors (91365368254467).

201002010100221 is a wasteful number, since it uses less digits than its factorization.

201002010100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17046032.

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

Adding to 201002010100221 its reverse (122001010200102), we get a palindrome (323003020300323).

The spelling of 201002010100221 in words is "two hundred one trillion, two billion, ten million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 33 365147 1095441 4016617 12049851 16680871 50042613 183489581 550468743 6090970003037 18272910009111 67000670033407 201002010100221