Search a number
-
+
101210021201213 is a prime number
BaseRepresentation
bin10111000000110011001011…
…010111001000010100111101
3111021100120202101200101222122
4113000303023113020110331
5101231211110411414323
6555131124124252325
730214116450511331
oct2700631327102475
9437316671611878
10101210021201213
112a280a24479041
12b42721b3a10a5
1344620aa9321c2
141adc83c21b7c1
15ba7a89154ec8
hex5c0ccb5c853d

101210021201213 has 2 divisors, whose sum is σ = 101210021201214. Its totient is φ = 101210021201212.

The previous prime is 101210021201189. The next prime is 101210021201227. The reversal of 101210021201213 is 312102120012101.

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., 93809646349444 + 7400374851769 = 9685538^2 + 2720363^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101210021201213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101210021201191 and 101210021201200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210021201713) 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, 50605010600606 + 50605010600607.

It is an arithmetic number, because the mean of its divisors is an integer number (50605010600607).

Almost surely, 2101210021201213 is an apocalyptic number.

It is an amenable number.

101210021201213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210021201213 is an equidigital number, since it uses as much as digits as its factorization.

101210021201213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101210021201213 its reverse (312102120012101), we get a palindrome (413312141213314).

The spelling of 101210021201213 in words is "one hundred one trillion, two hundred ten billion, twenty-one million, two hundred one thousand, two hundred thirteen".