Search a number
-
+
101210201102221 is a prime number
BaseRepresentation
bin10111000000110011010110…
…000101011001011110001101
3111021100121012221012022202221
4113000303112011121132031
5101231211442440232341
6555131154032215341
730214124063605141
oct2700632605313615
9437317187168687
10101210201102221
112a281006a83362
12b42726b69a551
134462108c9ccc3
141adc85808b221
15ba7a99d3ded1
hex5c0cd615978d

101210201102221 has 2 divisors, whose sum is σ = 101210201102222. Its totient is φ = 101210201102220.

The previous prime is 101210201102207. The next prime is 101210201102359. The reversal of 101210201102221 is 122201102012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99652522377321 + 1557678724900 = 9982611^2 + 1248070^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210201102221 - 27 = 101210201102093 is a prime.

It is a super-2 number, since 2×1012102011022212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101210201102195 and 101210201102204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210201102921) 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, 50605100551110 + 50605100551111.

It is an arithmetic number, because the mean of its divisors is an integer number (50605100551111).

Almost surely, 2101210201102221 is an apocalyptic number.

It is an amenable number.

101210201102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210201102221 is an equidigital number, since it uses as much as digits as its factorization.

101210201102221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101210201102221 its reverse (122201102012101), we get a palindrome (223411303114322).

The spelling of 101210201102221 in words is "one hundred one trillion, two hundred ten billion, two hundred one million, one hundred two thousand, two hundred twenty-one".