Search a number
-
+
101233021014221 is a prime number
BaseRepresentation
bin10111000001001000100110…
…010000011101000011001101
3111021102210010021212222001212
4113001020212100131003031
5101232100211334423341
6555145450254144205
730215562426631625
oct2701104620350315
9437383107788055
10101233021014221
112a28a75724aa68
12b42b779ab2065
134464304957205
141add9c0a9b885
15ba84834295eb
hex5c122641d0cd

101233021014221 has 2 divisors, whose sum is σ = 101233021014222. Its totient is φ = 101233021014220.

The previous prime is 101233021014217. The next prime is 101233021014247. The reversal of 101233021014221 is 122410120332101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95729591222500 + 5503429791721 = 9784150^2 + 2345939^2 .

It is a cyclic number.

It is not a de Polignac number, because 101233021014221 - 22 = 101233021014217 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101233021014421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50616510507110 + 50616510507111.

It is an arithmetic number, because the mean of its divisors is an integer number (50616510507111).

Almost surely, 2101233021014221 is an apocalyptic number.

It is an amenable number.

101233021014221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101233021014221 is an equidigital number, since it uses as much as digits as its factorization.

101233021014221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101233021014221 its reverse (122410120332101), we get a palindrome (223643141346322).

The spelling of 101233021014221 in words is "one hundred one trillion, two hundred thirty-three billion, twenty-one million, fourteen thousand, two hundred twenty-one".