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201012211111121 is a prime number
BaseRepresentation
bin101101101101000111001101…
…011100000101010011010001
3222100201120122121102012102022
4231231013031130011103101
5202321341002021023441
61551303422430301225
760224436656642564
oct5555071534052321
9870646577365368
10201012211111121
1159059888881813
121a66561a957815
1388214a7366a57
14378d085b204db
151838bc787784b
hexb6d1cd7054d1

201012211111121 has 2 divisors, whose sum is σ = 201012211111122. Its totient is φ = 201012211111120.

The previous prime is 201012211111069. The next prime is 201012211111141. The reversal of 201012211111121 is 121111112210102.

201012211111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195833127533521 + 5179083577600 = 13994039^2 + 2275760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201012211111121 is a prime.

It is a super-3 number, since 3×2010122111111213 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201012211111121.

It is not a weakly prime, because it can be changed into another prime (201012211111141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100506105555560 + 100506105555561.

It is an arithmetic number, because the mean of its divisors is an integer number (100506105555561).

Almost surely, 2201012211111121 is an apocalyptic number.

It is an amenable number.

201012211111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201012211111121 is an equidigital number, since it uses as much as digits as its factorization.

201012211111121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 201012211111121 its reverse (121111112210102), we get a palindrome (322123323321223).

The spelling of 201012211111121 in words is "two hundred one trillion, twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-one".