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22101120101 is a prime number
BaseRepresentation
bin10100100101010101…
…000101010001100101
32010001021011020011202
4110211111011101211
5330230341320401
614053023412245
71411454264324
oct244525052145
963037136152
1022101120101
119411562715
124349754085
132112a98578
1410d93840bb
1589545506b
hex525545465

22101120101 has 2 divisors, whose sum is σ = 22101120102. Its totient is φ = 22101120100.

The previous prime is 22101120073. The next prime is 22101120109. The reversal of 22101120101 is 10102110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19964277025 + 2136843076 = 141295^2 + 46226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22101120101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22101120109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050560050 + 11050560051.

It is an arithmetic number, because the mean of its divisors is an integer number (11050560051).

Almost surely, 222101120101 is an apocalyptic number.

It is an amenable number.

22101120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101120101 is an equidigital number, since it uses as much as digits as its factorization.

22101120101 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 22101120101 its reverse (10102110122), we get a palindrome (32203230223).

The spelling of 22101120101 in words is "twenty-two billion, one hundred one million, one hundred twenty thousand, one hundred one".