Search a number
-
+
101101010111021 is a prime number
BaseRepresentation
bin10110111111001101101001…
…110010110100101000101101
3111020222011101020002020211202
4112333031221302310220231
5101222414332042023041
6555005055102255245
730203210164522004
oct2677155162645055
9436864336066752
10101101010111021
112a239774567568
12b40a077887525
134454a2728b63b
141ad745a4d9c3b
15ba4d08c9ca9b
hex5bf369cb4a2d

101101010111021 has 2 divisors, whose sum is σ = 101101010111022. Its totient is φ = 101101010111020.

The previous prime is 101101010110939. The next prime is 101101010111069. The reversal of 101101010111021 is 120111010101101.

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., 74116361755396 + 26984648355625 = 8609086^2 + 5194675^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101101010111021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101010110993 and 101101010111011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101010711021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550505055510 + 50550505055511.

It is an arithmetic number, because the mean of its divisors is an integer number (50550505055511).

Almost surely, 2101101010111021 is an apocalyptic number.

It is an amenable number.

101101010111021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101010111021 is an equidigital number, since it uses as much as digits as its factorization.

101101010111021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101101010111021 its reverse (120111010101101), we get a palindrome (221212020212122).

The spelling of 101101010111021 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred eleven thousand, twenty-one".