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202201102200101 is a prime number
BaseRepresentation
bin101101111110011010011100…
…110111101010110100100101
3222111221020101110202011022212
4231332122130313222310211
5203000330324130400401
61554013523132333205
760406355544315134
oct5576323467526445
9874836343664285
10202201102200101
1159478007902604
121a817b18014205
1388a96362b3614
1437d082ab0791b
151859aac15ddbb
hexb7e69cdead25

202201102200101 has 2 divisors, whose sum is σ = 202201102200102. Its totient is φ = 202201102200100.

The previous prime is 202201102200077. The next prime is 202201102200107. The reversal of 202201102200101 is 101002201102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199428793949476 + 2772308250625 = 14121926^2 + 1665025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202201102200101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202201102200107) 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, 101100551100050 + 101100551100051.

It is an arithmetic number, because the mean of its divisors is an integer number (101100551100051).

Almost surely, 2202201102200101 is an apocalyptic number.

It is an amenable number.

202201102200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201102200101 is an equidigital number, since it uses as much as digits as its factorization.

202201102200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202201102200101 its reverse (101002201102202), we get a palindrome (303203303302303).

The spelling of 202201102200101 in words is "two hundred two trillion, two hundred one billion, one hundred two million, two hundred thousand, one hundred one".