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22221012101 is a prime number
BaseRepresentation
bin10100101100011110…
…011011110010000101
32010100121202101002012
4110230132123302011
5331002034341401
614112545224005
71414441325561
oct245436336205
963317671065
1022221012101
119473200312
124381932005
132131885292
14110b2726a1
158a0c388bb
hex52c79bc85

22221012101 has 2 divisors, whose sum is σ = 22221012102. Its totient is φ = 22221012100.

The previous prime is 22221012091. The next prime is 22221012119. The reversal of 22221012101 is 10121012222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12465499201 + 9755512900 = 111649^2 + 98770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22221012101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22221012131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11110506050 + 11110506051.

It is an arithmetic number, because the mean of its divisors is an integer number (11110506051).

Almost surely, 222221012101 is an apocalyptic number.

It is an amenable number.

22221012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221012101 is an equidigital number, since it uses as much as digits as its factorization.

22221012101 is an evil number, because the sum of its binary digits is even.

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

Adding to 22221012101 its reverse (10121012222), we get a palindrome (32342024323).

It can be divided in two parts, 2222 and 1012101, that multiplied together give a palindrome (2248888422).

The spelling of 22221012101 in words is "twenty-two billion, two hundred twenty-one million, twelve thousand, one hundred one".