Search a number
-
+
101211100213 is a prime number
BaseRepresentation
bin101111001000010100…
…1101101010000110101
3100200020120112121102011
41132100221231100311
53124240020201323
6114255025044221
710212051104626
oct1362051552065
9320216477364
10101211100213
1139a18033673
1217747486671
13970c6bc4a2
144c81c3da4d
15297571920d
hex1790a6d435

101211100213 has 2 divisors, whose sum is σ = 101211100214. Its totient is φ = 101211100212.

The previous prime is 101211100183. The next prime is 101211100229. The reversal of 101211100213 is 312001112101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100550507409 + 660592804 = 317097^2 + 25702^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211100213 - 25 = 101211100181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211100193 and 101211100202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211100313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605550106 + 50605550107.

It is an arithmetic number, because the mean of its divisors is an integer number (50605550107).

Almost surely, 2101211100213 is an apocalyptic number.

It is an amenable number.

101211100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211100213 is an equidigital number, since it uses as much as digits as its factorization.

101211100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101211100213 its reverse (312001112101), we get a palindrome (413212212314).

The spelling of 101211100213 in words is "one hundred one billion, two hundred eleven million, one hundred thousand, two hundred thirteen".