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22101100201 is a prime number
BaseRepresentation
bin10100100101010101…
…000000011010101001
32010001021010012212201
4110211111000122221
5330230340201301
614053023140201
71411454152315
oct244525003251
963037105781
1022101100201
119411549774
124349744661
132112a8c4ab
1410d937ab45
1589544e201
hex5255406a9

22101100201 has 2 divisors, whose sum is σ = 22101100202. Its totient is φ = 22101100200.

The previous prime is 22101100199. The next prime is 22101100211. The reversal of 22101100201 is 10200110122.

It is an a-pointer prime, because the next prime (22101100211) can be obtained adding 22101100201 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16854270976 + 5246829225 = 129824^2 + 72435^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101100201 - 21 = 22101100199 is a prime.

Together with 22101100199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22101100211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050550100 + 11050550101.

It is an arithmetic number, because the mean of its divisors is an integer number (11050550101).

Almost surely, 222101100201 is an apocalyptic number.

It is an amenable number.

22101100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101100201 is an equidigital number, since it uses as much as digits as its factorization.

22101100201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22101100201 its reverse (10200110122), we get a palindrome (32301210323).

The spelling of 22101100201 in words is "twenty-two billion, one hundred one million, one hundred thousand, two hundred one".