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2200101120101 is a prime number
BaseRepresentation
bin100000000001000000001…
…111101110100001100101
321210022211211101222011102
4200001000033232201211
5242021301341320401
64402413522245445
7314644361650613
oct40010017564145
97708754358142
102200101120101
1177906a7a9015
122b64894b6885
1312c6127c9b11
14786b21746b3
153c36a27856b
hex200403ee865

2200101120101 has 2 divisors, whose sum is σ = 2200101120102. Its totient is φ = 2200101120100.

The previous prime is 2200101120083. The next prime is 2200101120209. The reversal of 2200101120101 is 1010211010022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1473431822500 + 726669297601 = 1213850^2 + 852449^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200101120101 - 26 = 2200101120037 is a prime.

It is a super-3 number, since 3×22001011201013 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200101122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100050560050 + 1100050560051.

It is an arithmetic number, because the mean of its divisors is an integer number (1100050560051).

Almost surely, 22200101120101 is an apocalyptic number.

It is an amenable number.

2200101120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200101120101 is an equidigital number, since it uses as much as digits as its factorization.

2200101120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2200101120101 its reverse (1010211010022), we get a palindrome (3210312130123).

The spelling of 2200101120101 in words is "two trillion, two hundred billion, one hundred one million, one hundred twenty thousand, one hundred one".