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201011211101257 is a prime number
BaseRepresentation
bin101101101101000110010001…
…110101010110010001001001
3222100201111001220201102202221
4231231012101311112101021
5202321331430020220012
61551303135304454041
760224403125001124
oct5555062165262111
9870644056642687
10201011211101257
1159059415351587
121a66539ba7a321
13882137812523b
14378cdccdad3bb
151838b69b93507
hexb6d191d56449

201011211101257 has 2 divisors, whose sum is σ = 201011211101258. Its totient is φ = 201011211101256.

The previous prime is 201011211101159. The next prime is 201011211101263. The reversal of 201011211101257 is 752101112110102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126399000338361 + 74612210762896 = 11242731^2 + 8637836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201011211101257 is a prime.

It is not a weakly prime, because it can be changed into another prime (201011211101557) 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 as a sum of consecutive naturals, namely, 100505605550628 + 100505605550629.

It is an arithmetic number, because the mean of its divisors is an integer number (100505605550629).

Almost surely, 2201011211101257 is an apocalyptic number.

It is an amenable number.

201011211101257 is a deficient number, since it is larger than the sum of its proper divisors (1).

201011211101257 is an equidigital number, since it uses as much as digits as its factorization.

201011211101257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 25.

Adding to 201011211101257 its reverse (752101112110102), we get a palindrome (953112323211359).

The spelling of 201011211101257 in words is "two hundred one trillion, eleven billion, two hundred eleven million, one hundred one thousand, two hundred fifty-seven".