Search a number
-
+
10111020012221 is a prime number
BaseRepresentation
bin1001001100100010011111…
…0000011001001010111101
31022210121022100222012220212
42103020213300121022331
52311124332110342341
633300534413122205
72062332334025312
oct223104760311275
938717270865825
1010111020012221
113249072226437
121173700189365
13584607a7b44b
1426d53998cd09
151280268715eb
hex93227c192bd

10111020012221 has 2 divisors, whose sum is σ = 10111020012222. Its totient is φ = 10111020012220.

The previous prime is 10111020012179. The next prime is 10111020012229. The reversal of 10111020012221 is 12221002011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6736028488996 + 3374991523225 = 2595386^2 + 1837115^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111020012221 - 214 = 10111019995837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111020012196 and 10111020012205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111020012229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055510006110 + 5055510006111.

It is an arithmetic number, because the mean of its divisors is an integer number (5055510006111).

Almost surely, 210111020012221 is an apocalyptic number.

It is an amenable number.

10111020012221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111020012221 is an equidigital number, since it uses as much as digits as its factorization.

10111020012221 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 14.

Adding to 10111020012221 its reverse (12221002011101), we get a palindrome (22332022023322).

The spelling of 10111020012221 in words is "ten trillion, one hundred eleven billion, twenty million, twelve thousand, two hundred twenty-one".