Search a number
-
+
101020122000221 is a prime number
BaseRepresentation
bin10110111110000010010100…
…011111001010101101011101
3111020200102120222211110212012
4112332002110133022231131
5101220103202213001341
6554504000421321005
730164314540110044
oct2676022437125535
9436612528743765
10101020122000221
112a208436309716
12b3b6462566165
13444a206163898
141ad358581b55b
15ba2b728500eb
hex5be0947cab5d

101020122000221 has 2 divisors, whose sum is σ = 101020122000222. Its totient is φ = 101020122000220.

The previous prime is 101020122000197. The next prime is 101020122000257. The reversal of 101020122000221 is 122000221020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76221106420900 + 24799015579321 = 8730470^2 + 4979861^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020122000221 - 26 = 101020122000157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101020122000196 and 101020122000205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020122000521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510061000110 + 50510061000111.

It is an arithmetic number, because the mean of its divisors is an integer number (50510061000111).

Almost surely, 2101020122000221 is an apocalyptic number.

It is an amenable number.

101020122000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020122000221 is an equidigital number, since it uses as much as digits as its factorization.

101020122000221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101020122000221 its reverse (122000221020101), we get a palindrome (223020343020322).

The spelling of 101020122000221 in words is "one hundred one trillion, twenty billion, one hundred twenty-two million, two hundred twenty-one", and thus it is an aban number.