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100101020221 is a prime number
BaseRepresentation
bin101110100111001111…
…1000101101000111101
3100120101012201200221101
41131032133011220331
53120001330121341
6113552532133101
710142411430046
oct1351637055075
9316335650841
10100101020221
11394a8464094
1217497767191
13959371c717
144bb86398cd
15290d041831
hex174e7c5a3d

100101020221 has 2 divisors, whose sum is σ = 100101020222. Its totient is φ = 100101020220.

The previous prime is 100101020209. The next prime is 100101020267. The reversal of 100101020221 is 122020101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62875562500 + 37225457721 = 250750^2 + 192939^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100101020221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101020198 and 100101020207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101020021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050510110 + 50050510111.

It is an arithmetic number, because the mean of its divisors is an integer number (50050510111).

Almost surely, 2100101020221 is an apocalyptic number.

It is an amenable number.

100101020221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101020221 is an equidigital number, since it uses as much as digits as its factorization.

100101020221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100101020221 its reverse (122020101001), we get a palindrome (222121121222).

The spelling of 100101020221 in words is "one hundred billion, one hundred one million, twenty thousand, two hundred twenty-one".