Search a number
-
+
100221020021 is a prime number
BaseRepresentation
bin101110101010110100…
…0110110011101110101
3100120200120112022201102
41131111220312131311
53120223040120041
6114012500135445
710145366420513
oct1352550663565
9316616468642
10100221020021
113955a175781
121750b997585
1395b2546515
144bca5554b3
15291884709b
hex1755a36775

100221020021 has 2 divisors, whose sum is σ = 100221020022. Its totient is φ = 100221020020.

The previous prime is 100221019981. The next prime is 100221020069. The reversal of 100221020021 is 120020122001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79574203921 + 20646816100 = 282089^2 + 143690^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100221020021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221019984 and 100221020011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221020521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110510010 + 50110510011.

It is an arithmetic number, because the mean of its divisors is an integer number (50110510011).

Almost surely, 2100221020021 is an apocalyptic number.

It is an amenable number.

100221020021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221020021 is an equidigital number, since it uses as much as digits as its factorization.

100221020021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100221020021 its reverse (120020122001), we get a palindrome (220241142022).

The spelling of 100221020021 in words is "one hundred billion, two hundred twenty-one million, twenty thousand, twenty-one".