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10000220101 is a prime number
BaseRepresentation
bin10010101000000111…
…10011111111000101
3221210221011211001021
421110003303333011
5130440024020401
64332151231141
7502546316434
oct112403637705
927727154037
1010000220101
114271955413
121b310784b1
13c34a66701
146ac1bd11b
153d7e032a1
hex2540f3fc5

10000220101 has 2 divisors, whose sum is σ = 10000220102. Its totient is φ = 10000220100.

The previous prime is 10000220089. The next prime is 10000220123. The reversal of 10000220101 is 10102200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9134389476 + 865830625 = 95574^2 + 29425^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000220101 - 233 = 1410285509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000220701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000110050 + 5000110051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000110051).

Almost surely, 210000220101 is an apocalyptic number.

It is an amenable number.

10000220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000220101 is an equidigital number, since it uses as much as digits as its factorization.

10000220101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000220101 its reverse (10102200001), we get a palindrome (20102420102).

The spelling of 10000220101 in words is "ten billion, two hundred twenty thousand, one hundred one".