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201013101222221 is a prime number
BaseRepresentation
bin101101101101001000000010…
…011111100101100101001101
3222100201122221122022112022002
4231231020002133211211031
5202321344312403102341
61551304051024402045
760224501015523641
oct5555100237454515
9870648848275262
10201013101222221
115905a1a526a422
121a665828a76325
1388215b98aa302
14378d12c024c21
151838c2aa9e29b
hexb6d2027e594d

201013101222221 has 2 divisors, whose sum is σ = 201013101222222. Its totient is φ = 201013101222220.

The previous prime is 201013101222217. The next prime is 201013101222251. The reversal of 201013101222221 is 122222101310102.

201013101222221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199614229680100 + 1398871542121 = 14128490^2 + 1182739^2 .

It is a cyclic number.

It is not a de Polignac number, because 201013101222221 - 22 = 201013101222217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201013101222193 and 201013101222202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201013101222251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100506550611110 + 100506550611111.

It is an arithmetic number, because the mean of its divisors is an integer number (100506550611111).

Almost surely, 2201013101222221 is an apocalyptic number.

It is an amenable number.

201013101222221 is a deficient number, since it is larger than the sum of its proper divisors (1).

201013101222221 is an equidigital number, since it uses as much as digits as its factorization.

201013101222221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 201013101222221 its reverse (122222101310102), we get a palindrome (323235202532323).

The spelling of 201013101222221 in words is "two hundred one trillion, thirteen billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty-one".