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202212112200101 is a prime number
BaseRepresentation
bin101101111110100100101101…
…000111011111000110100101
3222111222021210210000002222122
4231332210231013133012211
5203001020401210400401
61554022543435035325
760410225434630403
oct5576445507370645
9874867723002878
10202212112200101
1159481747750563
121a81a08b29bb45
1388aa69c2cc813
1437d119305c473
15185a003a2621b
hexb7e92d1df1a5

202212112200101 has 2 divisors, whose sum is σ = 202212112200102. Its totient is φ = 202212112200100.

The previous prime is 202212112200061. The next prime is 202212112200169. The reversal of 202212112200101 is 101002211212202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110685675567076 + 91526436633025 = 10520726^2 + 9566945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202212112200101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202212112200101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202212112100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101106056100050 + 101106056100051.

It is an arithmetic number, because the mean of its divisors is an integer number (101106056100051).

Almost surely, 2202212112200101 is an apocalyptic number.

It is an amenable number.

202212112200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212112200101 is an equidigital number, since it uses as much as digits as its factorization.

202212112200101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202212112200101 its reverse (101002211212202), we get a palindrome (303214323412303).

The spelling of 202212112200101 in words is "two hundred two trillion, two hundred twelve billion, one hundred twelve million, two hundred thousand, one hundred one".