Search a number
-
+
102101020213 is a prime number
BaseRepresentation
bin101111100010110110…
…0011110111000110101
3100202112121002020011011
41133011230132320311
53133100330121323
6114523215112221
710243105231603
oct1370554367065
9322477066134
10102101020213
113a334400745
1217955512671
139821b96a7a
144d280d4873
1529c890420d
hex17c5b1ee35

102101020213 has 2 divisors, whose sum is σ = 102101020214. Its totient is φ = 102101020212.

The previous prime is 102101020211. The next prime is 102101020243. The reversal of 102101020213 is 312020101201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80861747044 + 21239273169 = 284362^2 + 145737^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101020213 - 21 = 102101020211 is a prime.

Together with 102101020211, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 102101020193 and 102101020202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101020211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050510106 + 51050510107.

It is an arithmetic number, because the mean of its divisors is an integer number (51050510107).

Almost surely, 2102101020213 is an apocalyptic number.

It is an amenable number.

102101020213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101020213 is an equidigital number, since it uses as much as digits as its factorization.

102101020213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102101020213 its reverse (312020101201), we get a palindrome (414121121414).

The spelling of 102101020213 in words is "one hundred two billion, one hundred one million, twenty thousand, two hundred thirteen".