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101112220141 is a prime number
BaseRepresentation
bin101111000101011000…
…0100000100111101101
3100122222200110222110021
41132022300200213231
53124034212021031
6114241133442141
710206440455552
oct1361260404755
9318880428407
10101112220141
11399772375a9
121771a340351
1396c507b67a
144c72a60a29
15296bbd6511
hex178ac209ed

101112220141 has 2 divisors, whose sum is σ = 101112220142. Its totient is φ = 101112220140.

The previous prime is 101112220087. The next prime is 101112220177. The reversal of 101112220141 is 141022211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59318550916 + 41793669225 = 243554^2 + 204435^2 .

It is an emirp because it is prime and its reverse (141022211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112220141 - 211 = 101112218093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112221141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556110070 + 50556110071.

It is an arithmetic number, because the mean of its divisors is an integer number (50556110071).

Almost surely, 2101112220141 is an apocalyptic number.

It is an amenable number.

101112220141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112220141 is an equidigital number, since it uses as much as digits as its factorization.

101112220141 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 16.

Adding to 101112220141 its reverse (141022211101), we get a palindrome (242134431242).

The spelling of 101112220141 in words is "one hundred one billion, one hundred twelve million, two hundred twenty thousand, one hundred forty-one".