Search a number
-
+
210122120101 is a prime number
BaseRepresentation
bin1100001110110001000…
…0010001101110100101
3202002100202211122220111
43003230100101232211
511420312230320401
6240310114133021
721116010360145
oct3035420215645
9662322748814
10210122120101
1181126505913
1234881581171
1316a783c655a
14a254552925
1556ebe05e51
hex30ec411ba5

210122120101 has 2 divisors, whose sum is σ = 210122120102. Its totient is φ = 210122120100.

The previous prime is 210122120099. The next prime is 210122120113. The reversal of 210122120101 is 101021221012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185955863076 + 24166257025 = 431226^2 + 155455^2 .

It is a cyclic number.

It is not a de Polignac number, because 210122120101 - 21 = 210122120099 is a prime.

Together with 210122120099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210122120501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105061060050 + 105061060051.

It is an arithmetic number, because the mean of its divisors is an integer number (105061060051).

Almost surely, 2210122120101 is an apocalyptic number.

It is an amenable number.

210122120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

210122120101 is an equidigital number, since it uses as much as digits as its factorization.

210122120101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 210122120101 its reverse (101021221012), we get a palindrome (311143341113).

The spelling of 210122120101 in words is "two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred one".