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202202122021201 is a prime number
BaseRepresentation
bin101101111110011011011001…
…101001111110100101010001
3222111221100000112201102212201
4231332123121221332211101
5203000334421214134301
61554014212242523201
760406423036541401
oct5576333151764521
9874840015642781
10202202122021201
1159478490534265
121a818161666501
1388a9769670663
1437d08c6334801
151859b1b958201
hexb7e6d9a7e951

202202122021201 has 2 divisors, whose sum is σ = 202202122021202. Its totient is φ = 202202122021200.

The previous prime is 202202122021183. The next prime is 202202122021241. The reversal of 202202122021201 is 102120221202202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199619033395600 + 2583088625601 = 14128660^2 + 1607199^2 .

It is a cyclic number.

It is not a de Polignac number, because 202202122021201 - 25 = 202202122021169 is a prime.

It is not a weakly prime, because it can be changed into another prime (202202122021241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101101061010600 + 101101061010601.

It is an arithmetic number, because the mean of its divisors is an integer number (101101061010601).

Almost surely, 2202202122021201 is an apocalyptic number.

It is an amenable number.

202202122021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

202202122021201 is an equidigital number, since it uses as much as digits as its factorization.

202202122021201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 202202122021201 its reverse (102120221202202), we get a palindrome (304322343223403).

The spelling of 202202122021201 in words is "two hundred two trillion, two hundred two billion, one hundred twenty-two million, twenty-one thousand, two hundred one".